CINXE.COM

Unitär delare – Wikipedia

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available" lang="sv" dir="ltr"> <head> <meta charset="UTF-8"> <title>Unitär delare – Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )svwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t."," \t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","januari","februari","mars","april","maj","juni","juli","augusti","september","oktober","november","december"],"wgRequestId":"c34190c9-211c-4777-8b02-e0e66b18d515","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Unitär_delare","wgTitle":"Unitär delare","wgCurRevisionId":48638671,"wgRevisionId":48638671,"wgArticleId":3887986,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Enwp","Talteori"],"wgPageViewLanguage":"sv","wgPageContentLanguage":"sv","wgPageContentModel":"wikitext","wgRelevantPageName":"Unitär_delare","wgRelevantArticleId":3887986,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{ "pageLanguageCode":"sv","pageLanguageDir":"ltr","pageVariantFallbacks":"sv"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":6000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q1704865","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.gadget.babel":"ready","ext.gadget.geo":"ready","ext.gadget.warnings":"ready","ext.gadget.tags":"ready","ext.gadget.error":"ready","ext.gadget.referenser":"ready", "ext.gadget.printonly":"ready","ext.gadget.tables":"ready","ext.gadget.toccolours":"ready","ext.gadget.smallTagFontSize":"ready","ext.gadget.videoPlayButton":"ready","ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","ext.cite.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","jquery.makeCollapsible.styles":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","site","mediawiki.page.ready","jquery.makeCollapsible","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.editsection0","ext.gadget.ProtectionIndicators","ext.gadget.GeoboxLocatorMulti", "ext.gadget.InterwikiBadges","ext.gadget.collapsibleTables","ext.gadget.NewSection","ext.gadget.ExkluderaRobotskapadeSidor","ext.gadget.Nearby","ext.gadget.InterProjectLinks","ext.gadget.cgiircbox","ext.gadget.withJS","ext.gadget.CommonsFileLinks","ext.gadget.tableSorterCollation","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=sv&amp;modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cjquery.makeCollapsible.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&amp;only=styles&amp;skin=vector-2022"> <script async="" src="/w/load.php?lang=sv&amp;modules=startup&amp;only=scripts&amp;raw=1&amp;skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=sv&amp;modules=ext.gadget.babel%2Cerror%2Cgeo%2Cprintonly%2Creferenser%2CsmallTagFontSize%2Ctables%2Ctags%2Ctoccolours%2CvideoPlayButton%2Cwarnings&amp;only=styles&amp;skin=vector-2022"> <link rel="stylesheet" href="/w/load.php?lang=sv&amp;modules=site.styles&amp;only=styles&amp;skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Unitär delare – Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//sv.m.wikipedia.org/wiki/Unit%C3%A4r_delare"> <link rel="alternate" type="application/x-wiki" title="Redigera" href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (sv)"> <link rel="EditURI" type="application/rsd+xml" href="//sv.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://sv.wikipedia.org/wiki/Unit%C3%A4r_delare"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.sv"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom-flöde" href="/w/index.php?title=Special:Senaste_%C3%A4ndringar&amp;feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Unitär_delare rootpage-Unitär_delare skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Hoppa till innehållet</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Webbplats"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Huvudmeny" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Huvudmeny</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Huvudmeny</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">dölj</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigering </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portal:Huvudsida" title="Besök huvudsidan [z]" accesskey="z"><span>Huvudsida</span></a></li><li id="n-Introduktion" class="mw-list-item"><a href="/wiki/Wikipedia:Introduktion"><span>Introduktion</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Deltagarportalen" title="Om projektet, vad du kan göra, var man kan hitta saker"><span>Deltagarportalen</span></a></li><li id="n-Bybrunnen" class="mw-list-item"><a href="/wiki/Wikipedia:Bybrunnen"><span>Bybrunnen</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:Senaste_%C3%A4ndringar" title="Lista över de senaste ändringarna på wikin [r]" accesskey="r"><span>Senaste ändringarna</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Slumpsida" title="Gå till en slumpmässigt vald sida [x]" accesskey="x"><span>Slumpartikel</span></a></li><li id="n-filuppladdning" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard" title="Ladda upp filer till Wikimedia Commons"><span>Ladda upp filer</span></a></li><li id="n-Kontakta-Wikipedia" class="mw-list-item"><a href="/wiki/Wikipedia:Kontakt"><span>Kontakta Wikipedia</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Hj%C3%A4lp" title="Platsen där du hittar hjälp"><span>Hjälp</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Portal:Huvudsida" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="" src="/static/images/mobile/copyright/wikipedia-tagline-sv.svg" width="120" height="13" style="width: 7.5em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:S%C3%B6k" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Sök i svenskspråkiga Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Sök</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Sök på Wikipedia" aria-label="Sök på Wikipedia" autocapitalize="sentences" title="Sök i svenskspråkiga Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Sök"> </div> <button class="cdx-button cdx-search-input__end-button">Sök</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personliga verktyg"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Utseende"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Ändra utseendet på sidans teckenstorlek, bredd och färg" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Utseende" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Utseende</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_sv.wikipedia.org&amp;uselang=sv" class=""><span>Stöd Wikipedia</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:Skapa_konto&amp;returnto=Unit%C3%A4r+delare" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt" class=""><span>Skapa konto</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:Inloggning&amp;returnto=Unit%C3%A4r+delare" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o" class=""><span>Logga in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Fler alternativ" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personliga verktyg" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personliga verktyg</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Användarmeny" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&amp;utm_medium=sidebar&amp;utm_campaign=C13_sv.wikipedia.org&amp;uselang=sv"><span>Stöd Wikipedia</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Skapa_konto&amp;returnto=Unit%C3%A4r+delare" title="Du uppmuntras att skapa ett konto och logga in, men det är inte obligatoriskt"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Skapa konto</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:Inloggning&amp;returnto=Unit%C3%A4r+delare" title="Inloggning ger tillgång till fler funktioner för den som vill skriva och redigera artiklar. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Webbplats"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Innehåll" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inledning</div> </a> </li> <li id="toc-Egenskaper" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Egenskaper"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Egenskaper</span> </div> </a> <ul id="toc-Egenskaper-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Udda_unitära_delare" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Udda_unitära_delare"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Udda unitära delare</span> </div> </a> <ul id="toc-Udda_unitära_delare-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Biunitär_delare" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Biunitär_delare"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Biunitär delare</span> </div> </a> <ul id="toc-Biunitär_delare-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Referenser" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referenser"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Referenser</span> </div> </a> <button aria-controls="toc-Referenser-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Växla underavsnittet Referenser</span> </button> <ul id="toc-Referenser-sublist" class="vector-toc-list"> <li id="toc-Fotnoter" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Fotnoter"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Fotnoter</span> </div> </a> <ul id="toc-Fotnoter-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Tryckta_källor" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Tryckta_källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Tryckta källor</span> </div> </a> <ul id="toc-Tryckta_källor-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Externa_länkar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Externa_länkar"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Externa länkar</span> </div> </a> <button aria-controls="toc-Externa_länkar-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Växla underavsnittet Externa länkar</span> </button> <ul id="toc-Externa_länkar-sublist" class="vector-toc-list"> <li id="toc-OEIS-talföljder" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#OEIS-talföljder"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>OEIS-talföljder</span> </div> </a> <ul id="toc-OEIS-talföljder-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Innehåll" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Växla innehållsförteckningen" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Växla innehållsförteckningen</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Unitär delare</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Gå till en artikel på ett annat språk. Tillgänglig på 7 språk" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-7" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">7 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Unitary_divisor" title="Unitary divisor – engelska" lang="en" hreflang="en" data-title="Unitary divisor" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Divisor_unitario" title="Divisor unitario – spanska" lang="es" hreflang="es" data-title="Divisor unitario" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Diviseur_unitaire" title="Diviseur unitaire – franska" lang="fr" hreflang="fr" data-title="Diviseur unitaire" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9C%A0%EB%8B%88%ED%83%80%EB%A6%AC_%EC%95%BD%EC%88%98" title="유니타리 약수 – koreanska" lang="ko" hreflang="ko" data-title="유니타리 약수" data-language-autonym="한국어" data-language-local-name="koreanska" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%8D%98%E7%B4%84%E6%95%B0" title="単約数 – japanska" lang="ja" hreflang="ja" data-title="単約数" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%B2%E0%AE%95%E0%AF%81%E0%AE%A8%E0%AE%BF%E0%AE%B2%E0%AF%88_%E0%AE%B5%E0%AE%95%E0%AF%81%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="அலகுநிலை வகுஎண் – tamil" lang="ta" hreflang="ta" data-title="அலகுநிலை வகுஎண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%83%E5%9B%A0%E6%95%B8" title="元因數 – kinesiska" lang="zh" hreflang="zh" data-title="元因數" data-language-autonym="中文" data-language-local-name="kinesiska" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1704865#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namnrymder"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Unit%C3%A4r_delare" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Diskussion:Unit%C3%A4r_delare" rel="discussion" title="Diskussion om innehållssidan [t]" accesskey="t"><span>Diskussion</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Ändra språkvariant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">svenska</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Visningar"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Unit%C3%A4r_delare"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Verktyg" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Verktyg</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Verktyg</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">dölj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Fler alternativ" > <div class="vector-menu-heading"> Åtgärder </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Unit%C3%A4r_delare"><span>Läs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=history"><span>Visa historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Allmänt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:L%C3%A4nkar_hit/Unit%C3%A4r_delare" title="Lista över alla wikisidor som länkar hit [j]" accesskey="j"><span>Sidor som länkar hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:Senaste_relaterade_%C3%A4ndringar/Unit%C3%A4r_delare" rel="nofollow" title="Visa senaste ändringarna av sidor som den här sidan länkar till [k]" accesskey="k"><span>Relaterade ändringar</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:Specialsidor" title="Lista över alla specialsidor [q]" accesskey="q"><span>Specialsidor</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;oldid=48638671" title="Permanent länk till den här versionen av sidan"><span>Permanent länk</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=info" title="Mer information om denna sida"><span>Sidinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:Citera&amp;page=Unit%C3%A4r_delare&amp;id=48638671&amp;wpFormIdentifier=titleform" title="Information om hur den här artikeln kan användas som referens"><span>Använd som referens</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&amp;url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FUnit%25C3%25A4r_delare"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&amp;url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FUnit%25C3%25A4r_delare"><span>Ladda ner QR-kod</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Skriv ut/exportera </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Special:Bok&amp;bookcmd=book_creator&amp;referer=Unit%C3%A4r+delare"><span>Skapa en bok</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&amp;page=Unit%C3%A4r_delare&amp;action=show-download-screen"><span>Ladda ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;printable=yes" title="Utskriftsvänlig version av den här sidan [p]" accesskey="p"><span>Utskriftsvänlig version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> På andra projekt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1704865" title="Länk till anslutet databasobjekt [g]" accesskey="g"><span>Wikidata-objekt</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Från Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><p>Inom <a href="/wiki/Matematik" title="Matematik">matematiken</a> är ett <a href="/wiki/Naturliga_tal" title="Naturliga tal">naturligt tal</a> <i>a</i> <b>unitär delare</b> av ett tal <i>b</i> om <i>a</i> är en <a href="/wiki/Delbarhet" title="Delbarhet">delare</a> av <i>b</i> och om <i>a</i> och <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {b}{a}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>b</mi> <mi>a</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {b}{a}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30304b82a801ef33eaf4c0c0306aa6966e83d2f3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:2.066ex; height:5.343ex;" alt="{\displaystyle {\frac {b}{a}}}"></span> är <a href="/wiki/Relativt_prima" title="Relativt prima">relativt prima</a>. Sålunda är 5 en unitär delare av 60, eftersom 5 och <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {60}{5}}=12}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>60</mn> <mn>5</mn> </mfrac> </mrow> <mo>=</mo> <mn>12</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {60}{5}}=12}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78b79e279ff48e56fec8cf3a350b6bd610ed1174" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.584ex; height:5.176ex;" alt="{\displaystyle {\frac {60}{5}}=12}"></span> endast har 1 som en gemensam faktor, medan 6 är en delare men inte en unitär delare av 60, eftersom 6 och <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {60}{6}}=10}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>60</mn> <mn>6</mn> </mfrac> </mrow> <mo>=</mo> <mn>10</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {60}{6}}=10}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/13b1bf6fd91928879e27ca180aa72155ccd2e1ff" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.584ex; height:5.176ex;" alt="{\displaystyle {\frac {60}{6}}=10}"></span> har en gemensam faktor utöver 1, nämligen 2. 1 är en unitär delare av alla naturliga tal. </p><p>Ekvivalent, en given delare <i>a</i> av <i>b</i> är en unitär delare <a href="/wiki/Om_och_endast_om" title="Om och endast om">om och endast om</a> varje primtalsfaktor för <i>a</i> har samma <a href="/wiki/Multiplicitet" title="Multiplicitet">multiplicitet</a> i <i>a</i> som i <i>b</i>. </p><p>Summan av den unitära delarfunktionen betecknas med den gemena grekiska bokstaven sigma sålunda: σ*(<i>n</i>). Summan av den <i>k</i>:te potensen av de unitära delarna betecknas med σ*<sub>k</sub>(<i>n</i>): </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>&#x03C3;<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2217;<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow> <mi>d</mi> <mo>&#x2223;<!-- ∣ --></mo> <mi>n</mi> </mrow> <mrow> <mo movablelimits="true" form="prefix">gcd</mo> <mo stretchy="false">(</mo> <mi>d</mi> <mo>,</mo> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </munder> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9d319d48ef4dba2fdf417acb870c66789c510eb6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -5.005ex; width:19.824ex; height:7.509ex;" alt="{\displaystyle \sigma _{k}^{*}(n)=\sum _{d\mid n \atop \gcd(d,n/d)=1}\!\!d^{k}.}"></span></dd></dl> <p>Om de äkta de unitära delarna till ett givet tal adderar fram till detta tal, så är det ett <a href="/wiki/Unit%C3%A4rt_perfekt_tal" title="Unitärt perfekt tal">unitärt perfekt tal</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Egenskaper">Egenskaper</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=1" title="Redigera avsnitt: Egenskaper" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=1" title="Redigera avsnitts källkod: Egenskaper"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Antalet unitära delare av ett tal <i>n</i> är 2<sup><i>k</i></sup>, där <i>k</i> är antalet distinkta primtalsfaktorer av <i>n</i>. Summan av de unitära delarna till <i>n</i> är udda om <i>n</i> är en potens av 2 (inklusive 1), och även annars. </p><p>Summan av de unitära delarna till <i>n</i> är en <a href="/wiki/Multiplikativ_funktion" title="Multiplikativ funktion">multiplikativ funktion</a> av <i>n</i>, men inte komplett multiplikativ. <a href="/w/index.php?title=Dirichlets_genererade_funktion&amp;action=edit&amp;redlink=1" class="new" title="Dirichlets genererade funktion [inte skriven än]">Dirichlets genererade funktion</a> är </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mn>2</mn> <mi>s</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2265;<!-- ≥ --></mo> <mn>1</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msubsup> <mi>&#x03C3;<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2217;<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msup> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/826d821ed5b240948d4c532a51d2351515f24ac4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:26.821ex; height:7.176ex;" alt="{\displaystyle {\frac {\zeta (s)\zeta (s-k)}{\zeta (2s-k)}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{*}(n)}{n^{s}}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Udda_unitära_delare"><span id="Udda_unit.C3.A4ra_delare"></span>Udda unitära delare</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=2" title="Redigera avsnitt: Udda unitära delare" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=2" title="Redigera avsnitts källkod: Udda unitära delare"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Summan av de <i>k</i>:te potenserna av udda unitära delare är </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msubsup> <mi>&#x03C3;<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>o</mi> <mo stretchy="false">)</mo> <mo>&#x2217;<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac linethickness="0"> <mrow> <mi>d</mi> <mo>&#x2223;<!-- ∣ --></mo> <mi>n</mi> </mrow> <mrow> <mi>d</mi> <mo>&#x2261;<!-- ≡ --></mo> <mn>1</mn> <mrow class="MJX-TeXAtom-ORD"> <mspace width="0.444em" /> <mo stretchy="false">(</mo> <mi>mod</mi> <mspace width="0.333em" /> <mn>2</mn> <mo stretchy="false">)</mo> </mrow> </mrow> </mfrac> </mrow> <mrow> <mo movablelimits="true" form="prefix">gcd</mo> <mo stretchy="false">(</mo> <mi>d</mi> <mo>,</mo> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mi>d</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </munder> <mspace width="negativethinmathspace" /> <mspace width="negativethinmathspace" /> <msup> <mi>d</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/98f0d3f015b0691f2f8438643c1c95e0cfa33cda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -6.838ex; width:22.74ex; height:9.509ex;" alt="{\displaystyle \sigma _{k}^{(o)*}(n)=\sum _{{d\mid n \atop d\equiv 1{\pmod {2}}} \atop \gcd(d,n/d)=1}\!\!d^{k}.}"></span></dd></dl> <p>Det är också multiplikativt, med Dirichlets genererade funktion </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>&#x2212;<!-- − --></mo> <mi>s</mi> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>&#x03B6;<!-- ζ --></mi> <mo stretchy="false">(</mo> <mn>2</mn> <mi>s</mi> <mo>&#x2212;<!-- − --></mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>&#x2212;<!-- − --></mo> <mn>2</mn> <mi>s</mi> </mrow> </msup> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>=</mo> <munder> <mo>&#x2211;<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>&#x2265;<!-- ≥ --></mo> <mn>1</mn> </mrow> </munder> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msubsup> <mi>&#x03C3;<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>o</mi> <mo stretchy="false">)</mo> <mo>&#x2217;<!-- ∗ --></mo> </mrow> </msubsup> <mo stretchy="false">(</mo> <mi>n</mi> <mo stretchy="false">)</mo> </mrow> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msup> </mfrac> </mrow> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3158718c72fb576fce209dabf36ee61f632ccec8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:38.979ex; height:7.843ex;" alt="{\displaystyle {\frac {\zeta (s)\zeta (s-k)(1-2^{k-s})}{\zeta (2s-k)(1-2^{k-2s})}}=\sum _{n\geq 1}{\frac {\sigma _{k}^{(o)*}(n)}{n^{s}}}.}"></span></dd></dl> <div class="mw-heading mw-heading2"><h2 id="Biunitär_delare"><span id="Biunit.C3.A4r_delare"></span>Biunitär delare</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=3" title="Redigera avsnitt: Biunitär delare" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=3" title="Redigera avsnitts källkod: Biunitär delare"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En delare <i>d</i> av <i>n</i> är en <a href="/w/index.php?title=Biunit%C3%A4r_delare&amp;action=edit&amp;redlink=1" class="new" title="Biunitär delare [inte skriven än]">biunitär delare</a> om den största gemensamma den unitära delaren <i>d</i> och <i>n</i>/<i>d</i>. Antalet biunitära delare till <i>n</i> är en multiplikativ funktion av <i>n</i> med genomsnittlig ordning <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A\log x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mi>log</mi> <mo>&#x2061;<!-- ⁡ --></mo> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A\log x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/669ea594d307d036a45cad21847d760224399e9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.819ex; height:2.509ex;" alt="{\displaystyle A\log x}"></span> där<sup id="cite_ref-Ivic395_1-0" class="reference"><a href="#cite_note-Ivic395-1"><span class="cite-reference-link-bracket">[</span>1<span class="cite-reference-link-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <munder> <mo>&#x220F;<!-- ∏ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </munder> <mrow> <mo>(</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>p</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> </mrow> <mrow> <msup> <mi>p</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo stretchy="false">(</mo> <mi>p</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> <mtext>&#xA0;</mtext> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6dd9b97fb7f7bec756b5b76e0ae95dadde5edcb7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:27.278ex; height:6.843ex;" alt="{\displaystyle A=\prod _{p}\left({1-{\frac {p-1}{p^{2}(p+1)}}}\right)\ .}"></span></dd></dl> <p>Ett <a href="/w/index.php?title=Biunit%C3%A4rt_perfekt_tal&amp;action=edit&amp;redlink=1" class="new" title="Biunitärt perfekt tal [inte skriven än]">biunitärt perfekt tal</a> är 1 lika med summan av dess biunitära alikvota delare. De enda biunitära perfekta talen är 6, 60 och 90.<sup id="cite_ref-HNTI115_2-0" class="reference"><a href="#cite_note-HNTI115-2"><span class="cite-reference-link-bracket">[</span>2<span class="cite-reference-link-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Referenser">Referenser</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=4" title="Redigera avsnitt: Referenser" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=4" title="Redigera avsnitts källkod: Referenser"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li></ul> <dl><dd><span class="plainlinks"><i>Den här artikeln är helt eller delvis baserad på material från <a href="/wiki/Engelskspr%C3%A5kiga_Wikipedia" title="Engelskspråkiga Wikipedia">engelskspråkiga Wikipedia</a>, <a class="external text" href="https://en.wikipedia.org/wiki/Unitary_divisor">Unitary divisor</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Unitary_divisor&amp;oldid=568257495">9 oktober 2013</a>.</i></span></dd></dl> <div class="mw-heading mw-heading3"><h3 id="Fotnoter">Fotnoter</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=5" title="Redigera avsnitt: Fotnoter" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=5" title="Redigera avsnitts källkod: Fotnoter"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-Ivic395-1"><a href="#cite_ref-Ivic395_1-0">^</a> <span class="reference-text">Ivić (1985) p.395</span> </li> <li id="cite_note-HNTI115-2"><a href="#cite_ref-HNTI115_2-0">^</a> <span class="reference-text">Sandor et al (2006) p.115</span> </li> </ol></div> <div class="mw-heading mw-heading3"><h3 id="Tryckta_källor"><span id="Tryckta_k.C3.A4llor"></span>Tryckta källor</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=6" title="Redigera avsnitt: Tryckta källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=6" title="Redigera avsnitts källkod: Tryckta källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite style="font-style:normal" class="book" id="CITEREFRichard_K._Guy2004"><a href="/w/index.php?title=Richard_K._Guy&amp;action=edit&amp;redlink=1" class="new" title="Richard K. Guy [inte skriven än]">Richard K. Guy</a>&#32;(2004).&#32;<i><span>Unsolved Problems in Number Theory</span></i>. <a href="/wiki/Springer-Verlag" class="mw-redirect" title="Springer-Verlag">Springer-Verlag</a>. sid.&#160;84. <a href="/wiki/Special:Bokk%C3%A4llor/0-387-20860-7" title="Special:Bokkällor/0-387-20860-7">ISBN 0-387-20860-7</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Unsolved+Problems+in+Number+Theory&amp;rft.aulast=Richard+K.+Guy&amp;rft.au=Richard+K.+Guy&amp;rft.date=2004&amp;rft.pages=sid.%26nbsp%3B84&amp;rft.pub=%5B%5BSpringer-Verlag%5D%5D&amp;rft.isbn=0-387-20860-7&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span> Section B3.</li> <li><cite style="font-style:normal" class="book" id="CITEREFPaulo_Ribenboim2000"><a href="/w/index.php?title=Paulo_Ribenboim&amp;action=edit&amp;redlink=1" class="new" title="Paulo Ribenboim [inte skriven än]">Paulo Ribenboim</a>&#32;(2000).&#32;<i><span>My Numbers, My Friends: Popular Lectures on Number Theory</span></i>. Springer-Verlag. sid.&#160;352. <a href="/wiki/Special:Bokk%C3%A4llor/0-387-98911-0" title="Special:Bokkällor/0-387-98911-0">ISBN 0-387-98911-0</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=My+Numbers%2C+My+Friends%3A+Popular+Lectures+on+Number+Theory&amp;rft.aulast=Paulo+Ribenboim&amp;rft.au=Paulo+Ribenboim&amp;rft.date=2000&amp;rft.pages=sid.%26nbsp%3B352&amp;rft.pub=Springer-Verlag&amp;rft.isbn=0-387-98911-0&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1959">Cohen, Eckford&#32;(22 november 1959).&#32;”A class of residue systems (mod r) and related arithmetical functions. I. A generalization of Möbius inversion”.&#32;<i>Pacific J. Math.</i>&#32;"9": ss.&#160;13–23.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=A+class+of+residue+systems+%28mod+r%29+and+related+arithmetical+functions.+I.+A+generalization+of+M%C3%B6bius+inversion&amp;rft.jtitle=Pacific+J.+Math.&amp;rft.aulast=Cohen&amp;rft.aufirst=Eckford&amp;rft.au=Cohen%2C+Eckford&amp;rft.date=22+november+1959&amp;rft.volume=%229%22&amp;rft.pages=ss.%26nbsp%3B13%E2%80%9323&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1960">Cohen, Eckford&#32;(22 november 1960).&#32;”Arithmetical functions associated with the unitary divisors of an integer”.&#32;<i><a href="/w/index.php?title=Mathematische_Zeitschrift&amp;action=edit&amp;redlink=1" class="new" title="Mathematische Zeitschrift [inte skriven än]">Mathematische Zeitschrift</a></i>&#32;"74": ss.&#160;66–80. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007%2FBF01180473">10.1007/BF01180473</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Arithmetical+functions+associated+with+the+unitary+divisors+of+an+integer&amp;rft.jtitle=%5B%5BMathematische+Zeitschrift%5D%5D&amp;rft.aulast=Cohen&amp;rft.aufirst=Eckford&amp;rft.au=Cohen%2C+Eckford&amp;rft.date=22+november+1960&amp;rft.volume=%2274%22&amp;rft.pages=ss.%26nbsp%3B66%E2%80%9380&amp;rft_id=info:doi/10.1007%2FBF01180473&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1960">Cohen, Eckford&#32;(22 november 1960).&#32;”The number of unitary divisors of an integer”.&#32;<i><a href="/w/index.php?title=American_mathematical_monthly&amp;action=edit&amp;redlink=1" class="new" title="American mathematical monthly [inte skriven än]">American mathematical monthly</a></i>&#32;"67": ss.&#160;879–880.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=The+number+of+unitary+divisors+of+an+integer&amp;rft.jtitle=%5B%5BAmerican+mathematical+monthly%5D%5D&amp;rft.aulast=Cohen&amp;rft.aufirst=Eckford&amp;rft.au=Cohen%2C+Eckford&amp;rft.date=22+november+1960&amp;rft.volume=%2267%22&amp;rft.pages=ss.%26nbsp%3B879%E2%80%93880&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1990">Cohen, Graeme L.&#32;(22 november 1990).&#32;”On an integers' infinitary divisors”.&#32;<i>Math. Comp.</i>&#32;"54": ss.&#160;395–411. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1090%2FS0025-5718-1990-0993927-5">10.1090/S0025-5718-1990-0993927-5</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=On+an+integers%27+infinitary+divisors&amp;rft.jtitle=Math.+Comp.&amp;rft.aulast=Cohen&amp;rft.aufirst=Graeme+L.&amp;rft.au=Cohen%2C+Graeme+L.&amp;rft.date=22+november+1990&amp;rft.volume=%2254%22&amp;rft.pages=ss.%26nbsp%3B395%E2%80%93411&amp;rft_id=info:doi/10.1090%2FS0025-5718-1990-0993927-5&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="news" id="CITEREFCohen1993">Cohen, Graeme L.&#32;(22 november 1993).&#32;”Arithmetic functions associated with infinitary divisors of an integer”.&#32;<i>Intl. J. Math. Math. Sci.</i>&#32;"16": ss.&#160;373–383. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<span class="neverexpand"><a rel="nofollow" class="external text" href="https://dx.doi.org/10.1155%2FS0161171293000456">10.1155/S0161171293000456</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.atitle=Arithmetic+functions+associated+with+infinitary+divisors+of+an+integer&amp;rft.jtitle=Intl.+J.+Math.+Math.+Sci.&amp;rft.aulast=Cohen&amp;rft.aufirst=Graeme+L.&amp;rft.au=Cohen%2C+Graeme+L.&amp;rft.date=22+november+1993&amp;rft.volume=%2216%22&amp;rft.pages=ss.%26nbsp%3B373%E2%80%93383&amp;rft_id=info:doi/10.1155%2FS0161171293000456&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="web" id="CITEREFFinch2004">Finch, Steven&#32;(2004).&#32;<a rel="nofollow" class="external text" href="https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf">”Unitarism and Infinitarism”</a>. Arkiverad från <a rel="nofollow" class="external text" href="http://algo.inria.fr/csolve/try.pdf">originalet</a>&#32;den 1 september 2006<span class="printonly">. <a rel="nofollow" class="external free" href="https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf">https://web.archive.org/web/20060901011841/http://algo.inria.fr/csolve/try.pdf</a></span>.</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.btitle=Unitarism+and+Infinitarism&amp;rft.atitle=&amp;rft.aulast=Finch&amp;rft.aufirst=Steven&amp;rft.au=Finch%2C+Steven&amp;rft.date=2004&amp;rft_id=https%3A%2F%2Fweb.archive.org%2Fweb%2F20060901011841%2Fhttp%3A%2F%2Falgo.inria.fr%2Fcsolve%2Ftry.pdf&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="book" id="CITEREFIvić1985">Ivić, Aleksandar&#32;(1985).&#32;<i><span>The Riemann zeta-function. The theory of the Riemann zeta-function with applications</span></i>. A Wiley-Interscience Publication. New York etc.: John Wiley &amp; Sons. sid.&#160;395. <a href="/wiki/Special:Bokk%C3%A4llor/0-471-80634-X" title="Special:Bokkällor/0-471-80634-X">ISBN 0-471-80634-X</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Riemann+zeta-function.+The+theory+of+the+Riemann+zeta-function+with+applications&amp;rft.aulast=Ivi%C4%87&amp;rft.aufirst=Aleksandar&amp;rft.au=Ivi%C4%87%2C+Aleksandar&amp;rft.date=1985&amp;rft.series=A+Wiley-Interscience+Publication&amp;rft.pages=sid.%26nbsp%3B395&amp;rft.place=New+York+etc.&amp;rft.pub=John+Wiley+%26+Sons&amp;rft.isbn=0-471-80634-X&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li> <li><cite style="font-style:normal" class="book" id="CITEREFSándorMitrinovićCrstici2006">Sándor, József; Mitrinović, Dragoslav S.; Crstici, Borislav, reds&#32;(2006).&#32;<i><span>Handbook of number theory I</span></i>. Dordrecht: <a href="/wiki/Springer-Verlag" class="mw-redirect" title="Springer-Verlag">Springer-Verlag</a>. <a href="/wiki/Special:Bokk%C3%A4llor/1-4020-4215-9" title="Special:Bokkällor/1-4020-4215-9">ISBN 1-4020-4215-9</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Handbook+of+number+theory+I&amp;rft.date=2006&amp;rft.place=Dordrecht&amp;rft.pub=%5B%5BSpringer-Verlag%5D%5D&amp;rft.isbn=1-4020-4215-9&amp;rfr_id=info:sid/en.wikipedia.org:Unit%C3%A4r_delare"><span style="display: none;">&#160;</span></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="Externa_länkar"><span id="Externa_l.C3.A4nkar"></span>Externa länkar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=7" title="Redigera avsnitt: Externa länkar" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=7" title="Redigera avsnitts källkod: Externa länkar"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Eric_W._Weisstein" title="Eric W. Weisstein">Weisstein, Eric W.</a>, "<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/UnitaryDivisor.html">Unitary Divisor</a>", <i><a href="/wiki/MathWorld" class="mw-redirect" title="MathWorld">MathWorld</a></i>.</li></ul> <div class="mw-heading mw-heading3"><h3 id="OEIS-talföljder"><span id="OEIS-talf.C3.B6ljder"></span><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>-talföljder</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;veaction=edit&amp;section=8" title="Redigera avsnitt: OEIS-talföljder" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Unit%C3%A4r_delare&amp;action=edit&amp;section=8" title="Redigera avsnitts källkod: OEIS-talföljder"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A034444" class="extiw" title="oeis:A034444">A034444</a></span>: σ<sub>0</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A034448" class="extiw" title="oeis:A034448">A034448</a></span>: σ<sub>1</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A034676" class="extiw" title="oeis:A034676">A034676</a></span> till <span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A034682" class="extiw" title="oeis:A034682">A034682</a></span>: σ<sub>2</sub>(<i>n</i>) till σ<sub>8</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A068068" class="extiw" title="oeis:A068068">A068068</a></span>: σ<sup>(o)*</sup><sub>0</sub>(<i>n</i>)</li> <li><span style="white-space:nowrap"><span typeof="mw:File"><a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="OEIS"><img alt="OEIS" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/11px-OEISicon_light.svg.png" decoding="async" width="11" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/17px-OEISicon_light.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d8/OEISicon_light.svg/22px-OEISicon_light.svg.png 2x" data-file-width="409" data-file-height="556" /></a></span>&#8202;<a href="//oeis.org/A192066" class="extiw" title="oeis:A192066">A192066</a></span>: σ<sup>(o)*</sup><sub>1</sub>(<i>n</i>)</li></ul> <style data-mw-deduplicate="TemplateStyles:r56287950">.mw-parser-output table.navbox{border:#aaa 1px solid;width:100%;margin:auto;margin-top:1em;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output link+table.navbox{margin-top:-1px}.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow,.mw-parser-output table.navbox th{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-thlinkcolor .navbox-title button,.mw-parser-output .navbox-thlinkcolor .navbox-title .mw-collapsible-text,.mw-parser-output .navbox-thlinkcolor .navbox-title a{color:inherit}.mw-parser-output .nowraplinks a,.mw-parser-output .nowraplinks .selflink{white-space:nowrap}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right;font-weight:bold;padding-left:1em;padding-right:1em}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-title,.mw-parser-output table.navbox th{background:#b0c4de}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background:#d0e0f5}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background:#deeafa}.mw-parser-output .navbox-even{background:#f7f7f7}.mw-parser-output .navbox-odd{background:transparent}</style><table class="navbox" style="border-spacing:0; ;"><tbody><tr><td style="padding:2px;"><table class="collapsible autocollapse" style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="3" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:Delbarhetsklasser" title="Mall:Delbarhetsklasser"><span title="Visa denna mall" style="border:none;;">v</span></a>&#160;<span style="font-size:80%;">•</span>&#160;<a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Delbarhetsklasser&amp;action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;">Delbarhetsbaserade heltalsmängder</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;">Översikt</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Primtalsfaktorisering" title="Primtalsfaktorisering">Primtalsfaktorisering</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Delbarhet" title="Delbarhet">Delbarhet</a><span style="font-weight:bold;">&#160;· </span> <a class="mw-selflink selflink">Unitär delare</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Sigmafunktionen" title="Sigmafunktionen">Sigmafunktionen</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Primtalsfaktor" title="Primtalsfaktor">Primtalsfaktor</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Aritmetikens_fundamentalsats" title="Aritmetikens fundamentalsats">Aritmetikens fundamentalsats</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt tal</a></div></td><td style="width:0%;padding:0px 0px 0px 2px;" rowspan="11"><span typeof="mw:File"><a href="/wiki/Fil:Lattice_of_the_divisibility_of_60.svg" class="mw-file-description" title="Delbarheten av 60"><img alt="Delbarheten av 60" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/200px-Lattice_of_the_divisibility_of_60.svg.png" decoding="async" width="200" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/300px-Lattice_of_the_divisibility_of_60.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/400px-Lattice_of_the_divisibility_of_60.svg.png 2x" data-file-width="313" data-file-height="250" /></a></span></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Faktoriserade former</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Primtal" title="Primtal">Primtal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Sammansatt_tal" title="Sammansatt tal">Sammansatt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Semiprimtal" title="Semiprimtal">Semiprimtal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Sfeniskt_tal" title="Sfeniskt tal">Sfeniskt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvadratfritt_tal" title="Kvadratfritt tal">Kvadratfritt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Potensrikt_tal&amp;action=edit&amp;redlink=1" class="new" title="Potensrikt tal [inte skriven än]">Potensrikt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Perfekt_potens" title="Perfekt potens">Perfekt potens</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Akillestal" title="Akillestal">Akilles</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Sl%C3%A4tt_tal&amp;action=edit&amp;redlink=1" class="new" title="Slätt tal [inte skriven än]">Slätt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Regelbundet_tal&amp;action=edit&amp;redlink=1" class="new" title="Regelbundet tal [inte skriven än]">Regelbundet</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Grovt_tal&amp;action=edit&amp;redlink=1" class="new" title="Grovt tal [inte skriven än]">Grovt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Extraordin%C3%A4rt_tal" title="Extraordinärt tal">Extraordinärt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Begränsade <a href="/wiki/Delarsumma" title="Delarsumma">delarsummor</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Superperfekt_tal" title="Superperfekt tal">Superperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Unit%C3%A4rt_perfekt_tal" title="Unitärt perfekt tal">Unitärt perfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Semiperfekt_tal" title="Semiperfekt tal">Semiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Praktiskt_tal" title="Praktiskt tal">Praktiskt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Erd%C5%91s%E2%80%93Nicolas-tal&amp;action=edit&amp;redlink=1" class="new" title="Erdős–Nicolas-tal [inte skriven än]">Erdős–Nicolas</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Med många delare</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Ymnigt_tal" title="Ymnigt tal">Ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Supernaturligt_tal&amp;action=edit&amp;redlink=1" class="new" title="Supernaturligt tal [inte skriven än]">Supernaturligt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/%C3%96vernaturligt_tal" title="Övernaturligt tal">Övernaturligt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/w/index.php?title=Alikvotf%C3%B6ljd&amp;action=edit&amp;redlink=1" class="new" title="Alikvotföljd [inte skriven än]">Alikvotföljdsrelaterade</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/w/index.php?title=Ober%C3%B6rbart_tal&amp;action=edit&amp;redlink=1" class="new" title="Oberörbart tal [inte skriven än]">Oberörbart</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/V%C3%A4nskapligt_tal" title="Vänskapligt tal">Vänskapligt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Sociabelt_tal&amp;action=edit&amp;redlink=1" class="new" title="Sociabelt tal [inte skriven än]">Sociabelt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra mängder</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=V%C3%A4nligt_tal&amp;action=edit&amp;redlink=1" class="new" title="Vänligt tal [inte skriven än]">Vänligt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Solit%C3%A4rt_tal&amp;action=edit&amp;redlink=1" class="new" title="Solitärt tal [inte skriven än]">Solitärt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Sublimt_tal&amp;action=edit&amp;redlink=1" class="new" title="Sublimt tal [inte skriven än]">Sublimt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Harmoniskt_delartal&amp;action=edit&amp;redlink=1" class="new" title="Harmoniskt delartal [inte skriven än]">Harmoniskt delartal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;">&#160;· </span> <a href="/w/index.php?title=Ekvidigitalt_tal&amp;action=edit&amp;redlink=1" class="new" title="Ekvidigitalt tal [inte skriven än]">Ekvidigitalt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Extravagant_tal" title="Extravagant tal">Extravagant</a></div></td></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-abovebelow" style=";" colspan="3"><a href="/wiki/Lista_%C3%B6ver_tal" title="Lista över tal">Lista över tal</a></td></tr></tbody></table></td></tr></tbody></table> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐849f99967d‐lbgq6 Cached time: 20241122205636 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.236 seconds Real time usage: 0.327 seconds Preprocessor visited node count: 8079/1000000 Post‐expand include size: 66559/2097152 bytes Template argument size: 32574/2097152 bytes Highest expansion depth: 15/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2714/5000000 bytes Lua time usage: 0.020/10.000 seconds Lua memory usage: 1203307/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 207.965 1 -total 48.06% 99.958 10 Mall:Citation/core 28.88% 60.051 5 Mall:Tidningsref 26.95% 56.054 5 Mall:Cite_news 26.17% 54.433 4 Mall:Bokref 24.36% 50.652 4 Mall:Cite_book 17.82% 37.056 1 Mall:Delbarhetsklasser 16.90% 35.140 1 Mall:Navbox 16.12% 33.516 1 Mall:Enwp 14.43% 30.018 1 Mall:Artikelursprung --> <!-- Saved in parser cache with key svwiki:pcache:idhash:3887986-0!canonical and timestamp 20241122205636 and revision id 48638671. Rendering was triggered because: api-parse --> </div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Hämtad från ”<a dir="ltr" href="https://sv.wikipedia.org/w/index.php?title=Unitär_delare&amp;oldid=48638671">https://sv.wikipedia.org/w/index.php?title=Unitär_delare&amp;oldid=48638671</a>”</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Wikipedia:Kategorier" title="Wikipedia:Kategorier">Kategori</a>: <ul><li><a href="/wiki/Kategori:Talteori" title="Kategori:Talteori">Talteori</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Dold kategori: <ul><li><a href="/wiki/Kategori:Enwp" title="Kategori:Enwp">Enwp</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Sidan redigerades senast den 27 december 2020 kl. 20.14.</li> <li id="footer-info-copyright">Wikipedias text är tillgänglig under licensen <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.sv">Creative Commons Erkännande-dela-lika 4.0 Unported</a>. För bilder, se respektive bildsida (klicka på bilden). Se vidare <a href="/wiki/Wikipedia:Upphovsr%C3%A4tt" title="Wikipedia:Upphovsrätt">Wikipedia:Upphovsrätt</a> och <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">användarvillkor</a>.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Wikimedias integritetspolicy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:Om">Om Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:Allm%C3%A4nt_f%C3%B6rbeh%C3%A5ll">Förbehåll</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Uppförandekod</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Utvecklare</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/sv.wikipedia.org">Statistik</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Information om kakor</a></li> <li id="footer-places-mobileview"><a href="//sv.m.wikipedia.org/w/index.php?title=Unit%C3%A4r_delare&amp;mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobilvy</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-f69cdc8f6-szrlp","wgBackendResponseTime":157,"wgPageParseReport":{"limitreport":{"cputime":"0.236","walltime":"0.327","ppvisitednodes":{"value":8079,"limit":1000000},"postexpandincludesize":{"value":66559,"limit":2097152},"templateargumentsize":{"value":32574,"limit":2097152},"expansiondepth":{"value":15,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":2714,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 207.965 1 -total"," 48.06% 99.958 10 Mall:Citation/core"," 28.88% 60.051 5 Mall:Tidningsref"," 26.95% 56.054 5 Mall:Cite_news"," 26.17% 54.433 4 Mall:Bokref"," 24.36% 50.652 4 Mall:Cite_book"," 17.82% 37.056 1 Mall:Delbarhetsklasser"," 16.90% 35.140 1 Mall:Navbox"," 16.12% 33.516 1 Mall:Enwp"," 14.43% 30.018 1 Mall:Artikelursprung"]},"scribunto":{"limitreport-timeusage":{"value":"0.020","limit":"10.000"},"limitreport-memusage":{"value":1203307,"limit":52428800}},"cachereport":{"origin":"mw-api-int.codfw.main-849f99967d-lbgq6","timestamp":"20241122205636","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Unit\u00e4r delare","url":"https:\/\/sv.wikipedia.org\/wiki\/Unit%C3%A4r_delare","sameAs":"http:\/\/www.wikidata.org\/entity\/Q1704865","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q1704865","author":{"@type":"Organization","name":"Bidragsgivare till Wikimedia-projekten"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2013-10-09T14:29:40Z","dateModified":"2020-12-27T19:14:52Z"}</script> </body> </html>

Pages: 1 2 3 4 5 6 7 8 9 10