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Pustam | पुस्तम | পুস্তম🇳🇵One of the best things I saw this week: a paper uncovering alien signals in the Riemann Zeta function. April Fools always brings peak creativity. 😅<a href="https://mathstodon.xyz/tags/Riemann" class="mention hashtag" rel="nofollow noopener" target="_blank">#Riemann</a> <a href="https://mathstodon.xyz/tags/Zeta" class="mention hashtag" rel="nofollow noopener" target="_blank">#Zeta</a> <a href="https://mathstodon.xyz/tags/ZetaFunction" class="mention hashtag" rel="nofollow noopener" target="_blank">#ZetaFunction</a> <a href="https://mathstodon.xyz/tags/RiemanZetaFunction" class="mention hashtag" rel="nofollow noopener" target="_blank">#RiemanZetaFunction</a> <a href="https://mathstodon.xyz/tags/AprilFool" class="mention hashtag" rel="nofollow noopener" target="_blank">#AprilFool</a> <a href="https://mathstodon.xyz/tags/AprilFools" class="mention hashtag" rel="nofollow noopener" target="_blank">#AprilFools</a> <a href="https://mathstodon.xyz/tags/AprilFoolsDay" class="mention hashtag" rel="nofollow noopener" target="_blank">#AprilFoolsDay</a> <a href="https://mathstodon.xyz/tags/Creativity" class="mention hashtag" rel="nofollow noopener" target="_blank">#Creativity</a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#Math</a> <a href="https://mathstodon.xyz/tags/Maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#Maths</a> <a href="https://mathstodon.xyz/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#NumberTheory</a> <a href="https://mathstodon.xyz/tags/PeakCreativity" class="mention hashtag" rel="nofollow noopener" target="_blank">#PeakCreativity</a> <a href="https://mathstodon.xyz/tags/Nerd" class="mention hashtag" rel="nofollow noopener" target="_blank">#Nerd</a> <a href="https://mathstodon.xyz/tags/Nerds" class="mention hashtag" rel="nofollow noopener" target="_blank">#Nerds</a> <a href="https://mathstodon.xyz/tags/Humor" class="mention hashtag" rel="nofollow noopener" target="_blank">#Humor</a> <a href="https://mathstodon.xyz/tags/Humour" class="mention hashtag" rel="nofollow noopener" target="_blank">#Humour</a> <a href="https://mathstodon.xyz/tags/Alien" class="mention hashtag" rel="nofollow noopener" target="_blank">#Alien</a> <a href="https://mathstodon.xyz/tags/AlienSignals" class="mention hashtag" rel="nofollow noopener" target="_blank">#AlienSignals</a>

LavX NewsDecades-Long Quest for the Irrational: A Breakthrough in Number TheoryIn a stunning revelation, mathematicians have expanded upon Roger Apéry's groundbreaking proof of the irrationality of ζ(3), paving the way for a new era in number theory. This innovative approach not...<a href="https://news.lavx.hu/article/decades-long-quest-for-the-irrational-a-breakthrough-in-number-theory" rel="nofollow noopener" translate="no" target="_blank">https://news.lavx.hu/article/decades-long-quest-for-the-irrational-a-breakthrough-in-number-theory</a><a href="https://mastodon.social/tags/news" class="mention hashtag" rel="nofollow noopener" target="_blank">#news</a> <a href="https://mastodon.social/tags/tech" class="mention hashtag" rel="nofollow noopener" target="_blank">#tech</a> <a href="https://mastodon.social/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener" target="_blank">#NumberTheory</a> <a href="https://mastodon.social/tags/IrrationalNumbers" class="mention hashtag" rel="nofollow noopener" target="_blank">#IrrationalNumbers</a> <a href="https://mastodon.social/tags/ZetaFunction" class="mention hashtag" rel="nofollow noopener" target="_blank">#ZetaFunction</a>

ƧƿѦςɛ♏ѦਹѤʞ<a href="https://social.zvavybir.eu/@zvavybir" class="u-url mention" rel="nofollow noopener" target="_blank">@zvavybir</a> It does diverge. It has no sum. However, the uniquely valued <a href="https://mastodon.social/tags/Riemann" class="mention hashtag" rel="nofollow noopener" target="_blank">#Riemann</a> <a href="https://mastodon.social/tags/ZetaFunction" class="mention hashtag" rel="nofollow noopener" target="_blank">#ZetaFunction</a> can be analytically continued into the left half-plane where we find zeta(-1)=-1/12 (which 'looks like' 1+2+...). <a href="https://mastodon.social/tags/Ces%C3%A0ro" class="mention hashtag" rel="nofollow noopener" target="_blank">#Cesàro</a> <a href="https://mastodon.social/tags/summation" class="mention hashtag" rel="nofollow noopener" target="_blank">#summation</a> will get you part of the way there also, and, as you say, yields the same result; presumably due to some ultimate cosmic logical rightness :-) I very strongly recommend BP's superb exposition of this issue <a href="https://www.youtube.com/watch?v=YuIIjLr6vUA" rel="nofollow noopener" translate="no" target="_blank">https://www.youtube.com/watch?v=YuIIjLr6vUA</a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener" target="_blank">#maths</a> <a href="https://mastodon.social/tags/AnalyticContinuation" class="mention hashtag" rel="nofollow noopener" target="_blank">#AnalyticContinuation</a> <a href="https://mastodon.social/tags/Ramanujan" class="mention hashtag" rel="nofollow noopener" target="_blank">#Ramanujan</a>

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