Conference "Zeta Functions"

Some non-standard methods to perform calculations with Riemann's zeta function

Yuri Matiyasevich (St. Petersburg)

Thursday, November 22 15:40 - 17:30

Video: part 1 [mp4], part 2 [mp4]

Abstract

The first part of the talk will be a short introduction the history of the study of Riemann's zeta function giving necessary (and, hopefully, sufficient) background for understanding the rest of the talk. The main part will be devoted to methods for calculating approximate values of the non-trivial zeros of Riemann's zeta functions, its values and values of its first derivative inside and outside the critical strip. These methods have been recently discovered by the author in the course of intensive numerical calculations, and so far there is no theoretical explanation of them. The obtained numerical data allows one to state a number of conjectures about the zeta function including new (so far, hypothetical) relationship between its zeros and prime numbers.

More information about that ongoing research  can be found at the personal web page.

The slides for the talk as well as some extra materials are available at this page.