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The Riemann Hypothesis in terms of eigenvalues of certain almost triangular Hankel matrices

Posted in
Speaker: 
Yuri Matiyasevich
Affiliation: 
Steklov Insitute of Mathematics, St. Petersburg
Date: 
Tue, 2017-10-24 14:15 - 15:15
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Ten years ago the speaker  reformulated the Riemann Hypothesis as statements about the eigenvalues of certain
Hankel matrices, entries of which are defined via the Taylor series coefficients of the zeta function. Numerical
calculations revealed some  very interesting visual patterns in the behaviour of the eigenvalues and   allowed the
speaker  to state a number of new conjectures related to the Riemann Hypothesis.

Recently computations have been  performed on more powerful computers. This led to new conjectures about
the finer structure of the eigenvalues and eigenvectors and to conjectures that are (formally) stronger than
the Riemann Hypothesis.

More information can be found at {\url{http://logic.pdmi.ras.ru/~yumat/personaljournal/zetahiddenlife}}

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