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SUMMARY:More than two thirds of the zeros of the Riemann zeta function  ar
 e simple and on the critical line [MPIM]
DTSTART:20260903T143000Z
DTEND:20260903T153000Z
DTSTAMP:20260903T152200Z
UID:indico-event-1560@math-events.uni-bonn.de
DESCRIPTION:Speakers: Youness Lamzouri (Université de Lorraine/z. Z. MPIM
 )\n\nSpecial talk/The talk will be aimed at a general mathematical audienc
 e\nThe Riemann Hypothesis asserts that all non-trivial zeros of the Rieman
 n zeta function lie on the critical line Re(s)=1/2. In the absence of a pr
 oof of the Riemann hypothesis\, a fundamental problem has been to determin
 e what proportion of the zeros can be shown to lie on the critical line.\n
 Three weeks ago\, an internal research version of Claude developed by Anth
 ropic announced a breakthrough result\, later verified by Anthropic mathe
 maticians Levent Alpöge and Ralph Furman\, showing unconditionally that m
 ore than (67.25%) of the zeros are simple and lie on the critical line. Th
 eir argument is technically intricate and its main mechanism is not transp
 arent. I will present a new\, shorter and conceptually simpler proof of th
 is result.\n \n\nhttps://math-events.uni-bonn.de/event/1560/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1560/
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