#ramanujan — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #ramanujan, aggregated by home.social.
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#DidYouKnow: The #Chudnovsky #Algorithm is a fast method for calculating the digits of π, based on #Ramanujan's π formulae. It was published by the Chudnovsky brothers in 1988.
It was used in the world record calculations of 100 trillion digits of π on March 21, 2022.
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@zvavybir
It does diverge. It has no sum.
However, the uniquely valued #Riemann #ZetaFunction can be analytically continued into the left half-plane where we find zeta(-1)=-1/12 (which 'looks like' 1+2+...). #Cesàro #summation 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
https://www.youtube.com/watch?v=YuIIjLr6vUA
#maths #AnalyticContinuation #Ramanujan -
#DidYouKnow: The #Chudnovsky #Algorithm is a fast method for calculating the digits of π, based on #Ramanujan's π formulae. It was published by the Chudnovsky brothers in 1988.
It was used in the world record calculations of 100 trillion digits of π on March 21, 2022.
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Why #havent You #Heard Of One Of #historys # Greatest #geniuses | #ramanujan |
#Thoughty2 -
#Langlands - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof