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The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. <a href="https://mathscinet.ams.org/mathscinet/search/journal/profile?groupId=3285" target="new">Subscribers to MathSciNet</a> may click through for more detailed information. </div> </p> </section> </div> </header> <main> <section class="row"> <nav class="col-md-3">  <nav class="journals-list-group"> <script type="text/javascript" src="/journals/javascript/tran_nav.js"></script> <a href="/journals/journals"><i class="fa-sharp fa-solid fa-house"></i> Journals Home</a> <a href="/epubsearch">eContent Search</a> <a href="/abouttran" class="">About Transactions of the American Mathematical Society</a> <a href="/tranedit" class="">Editorial Board</a> <a href="/tran/transubmit.html" class="">Author and Submission Information</a> <a href="/policies/policies" class="" target="_blank">Journal Policies</a> <a href="/subscriberinfo" class="" target="_blank">Subscription Information</a> <a href="/jemail" class="" target="_blank"> Journal Email Notifications</a> <hr> <a href="/pairing/pair_my_device.html"><i class="fa fa-globe" aria-hidden="true"></i> Remote Access</a> </nav> </nav> <article class="col-md-9"> <section>   <div class="row">  <ul class="nav nav-tabs"> <li role="presentation" class=""> <script type="text/javascript" src="/journals/javascript/tran_nav.js"></script> <a href="javascript: goto_most_recent_tran()" aria-controls="currissue" role="tab"> Current volume </a> </li> <li role="presentation" class="">  <a href="/cgi-bin/mstrack/accepted_papers/tran?active=press" aria-controls="press" role="tab">Articles in press </a> </li> <li role="presentation" class=""> <a href="/journals/tran/0000-000-00?active=recent"> Recently published</a> </li> <li role="presentation" class=""> <a href="/journals/tran/all_issues.html?active=allissues"> All issues : 1900 – Present </a> </li> </ul> <script src="/js/abstracts/ajaxcall.js"></script> </div> <p> </p> <style> #navCell { display: none;} </style> <script src="/journals/javascript/references.js" type="text/javascript"></script> <script async src="/js/mj.js"></script>  <script src="https://platform-api.sharethis.com/js/sharethis.js#property=598c93d1e2587a001253a011&product=unknown" async="async"></script>  <div class="sharethis-inline-share-buttons"></div>   <article class="col-md-12"> <header> <h2>Arithmetic properties of Bernoulli convolutions<br> <small>HTML articles powered by AMS MathViewer <a href="/AMSMathViewer"><i class="fa fa-info-circle" aria-label="about MathViewer"></i></a></small></h2> <dl> <dd>by <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Garsia%2C%20Adriano%20M.">Adriano M. Garsia</a>  </dd> <dd>Trans. Amer. Math. Soc. <strong>102</strong> (1962), 409-432 </dd> <dd> DOI: https://doi.org/10.1090/S0002-9947-1962-0137961-5 </dd> <dd> </dd> <dd class="mathviewerPDFLink"> <a href="S0002-9947-1962-0137961-5.pdf"><small>PDF</small></a> | <a href="https://www.copyright.com/openurl.do?issn=1088-6850&WT.mc.it=American%20Mathematical%20Society" target="_blank">Request permission</a> </dd> </dl> </header> <section id="references"> <details> <summary>References</summary> <ul><li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Erdos%2C%20Paul">Paul Erdös</a>, <em>On a family of symmetric Bernoulli convolutions</em>, Amer. J. Math. <strong>61</strong> (1939), 974–976. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=311">MR <strong>311</strong></a>, DOI <a href="https://doi.org/10.2307/2371641">10.2307/2371641</a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Erdos%2C%20Paul">Paul Erdös</a>, <em>On the smoothness properties of a family of Bernoulli convolutions</em>, Amer. J. Math. <strong>62</strong> (1940), 180–186. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=858">MR <strong>858</strong></a>, DOI <a href="https://doi.org/10.2307/2371446">10.2307/2371446</a></li> A. Garsia, <em>On the distribution function of a geometric series whose terms have random changes of sign</em>, Bell Telephone Laboratories Technical Memorandum File, 1959. <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Jessen%2C%20Borge">Børge Jessen</a> and <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Wintner%2C%20Aurel">Aurel Wintner</a>, <a href="/tran/1935-038-01/S0002-9947-1935-1501802-5/" class="amsJournalReferenceTitle"><em>Distribution functions and the Riemann zeta function</em></a>, <a href="/tran/">Trans. Amer. Math. Soc.</a> <strong>38</strong> (1935), <a href="/tran/1935-038-01/">no. 1</a>, 48–88. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=1501802">MR <strong>1501802</strong></a>, DOI <a href="/tran/1935-038-01/S0002-9947-1935-1501802-5/">10.1090/S0002-9947-1935-1501802-5</a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Kahane%2C%20J.-P.">J.-P. Kahane</a> and <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Salem%2C%20R.">R. Salem</a>, <em>Sur la convolution d’une infinité de distributions de Bernoulli</em>, Colloq. Math. <strong>6</strong> (1958), 193–202 (French). <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=101992">MR <strong>101992</strong></a>, DOI <a href="https://doi.org/10.4064/cm-6-1-193-202">10.4064/cm-6-1-193-202</a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Karlin%2C%20Samuel">Samuel Karlin</a>, <em>Some random walks arising in learning models. I</em>, Pacific J. Math. <strong>3</strong> (1953), 725–756. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=58910">MR <strong>58910</strong></a></li> <li><a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Kemeny%2C%20John%20G.">John G. 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J. <strong>11</strong> (1944), 597–602. <a href="https://mathscinet.ams.org/mathscinet-getitem?mr=10579">MR <strong>10579</strong></a></li> </ul> </details> </section> <section id="similar"> <details> <summary>Similar Articles</summary> <ul> <li> Retrieve articles in <em>Transactions of the American Mathematical Society</em> with MSC: <a href="/joursearch/servlet/DoSearch?f1=msc&v1=44.25&jrnl=one&onejrnl=tran">44.25</a> </li> <li> Retrieve articles in all journals with MSC: <a href="/joursearch/servlet/DoSearch?f1=msc&v1=44.25">44.25</a> </ul> </details> </section> <section id="additionalinformation"> <details open> <summary>Bibliographic Information</summary> <ul> <li>© Copyright 1962 American Mathematical Society</li> <li>Journal: Trans. Amer. Math. Soc. <strong>102</strong> (1962), 409-432 </li> <li>MSC: Primary 44.25 <li>DOI: https://doi.org/10.1090/S0002-9947-1962-0137961-5</li> <li>MathSciNet review: <a href = "https://mathscinet.ams.org/mathscinet-getitem?mr=137961">0137961</a></li> </ul> </details> </section> </article> </section> </article> </section> </main> </div>   <hr class="mx-auto"> <footer id="pagefooter" class="text-center"> <div class="container text-center"> <div class="row">  <div class="col-12 mb-1"> <p> American Mathematical Society · <a href="https://goo.gl/maps/ZvJdkQEC79p" title="Google map 201 Charles Street Providence, Rhode Island" aria-label="Google map to AMS headquarters"> 201 Charles Street Providence, Rhode Island 02904-2213 </a> · <a href="/reach" aria-label="Contact Us">Contact Us</a> </p> </div>  <script src="https://kit.fontawesome.com/2ad6d7fbd6.js" crossorigin="anonymous" defer></script>  <nav class="col-12 mb-1" aria-label="Social media links"> <ul class="list-inline"> <li class="list-inline-item"> <a href="https://www.facebook.com/amermathsoc" class="link-dark" title="Follow us on Facebook" aria-label="View the AMS on Facebook"> <i class="fa-brands fa-facebook-f" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://bsky.app/profile/amermathsoc.bsky.social" class="link-dark" title="Follow us on Bluesky" aria-label="View the AMS on Bluesky"> <i class="fa-brands fa-bluesky"></i></a></li> <li class="list-inline-item"> <a href="https://twitter.com/amermathsoc" class="link-dark" title="Follow us on X" aria-label="View the AMS on X"> <i class="fa-brands fa-x-twitter" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.linkedin.com/company/51001" class="link-dark" title="Follow us on LinkedIn" aria-label="View the AMS on LinkedIn"> <i class="fa-brands fa-linkedin-in" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.instagram.com/amermathsoc" class="link-dark" title="Follow us on Instagram" aria-label="View the AMS on Instagram"> <i class="fa-brands fa-instagram" aria-hidden="true"></i></a></li> <li class="list-inline-item"> <a href="https://www.youtube.com/amermathsoc" class="link-dark" title="Follow us on YouTube" aria-label="View the AMS on YouTube"> <i class="fa-brands fa-youtube" aria-hidden="true"></i></a></li> </ul> </nav>  <div class="col-12"> <p><small> © <a href="/copyright" aria-label="Copyright policy">Copyright</a> <span id="copyYear">2024</span> American Mathematical Society · <a href="/privacy" aria-label="Privacy statement">View Our Privacy Statement</a> · <a href="/tou" aria-label="Terms of use">Terms of Use</a> · <a href="/accessibility" aria-label="Accessibility policy">Accessibility and AMS Online Content</a> </small></p> <p><small> AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and service marks of the American Mathematical Society and registered in the U.S. Patent and Trademark Office. </small></p> </div> </div> </div> <script> // Dynamically update the copyright year document.getElementById('copyYear').textContent = new Date().getFullYear(); </script> </footer>