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Hidden life of Riemann's zeta function

Yu. V. Matiyasevich

Abstract: The Riemann Hypothesis can be reformulated as statements about the determinants of some matrices entries of which are defined via Taylor coefficient of the zeta function. It turned out that these eigenvalues demonstrate interesting visual patterns allowing one to state a number of conjectures.
During the talk I am to show numerous pictures and computer generated animations revealing “hidden life of Riemann's zeta function”.
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© Steklov Math. Inst. of RAS, 2024