New conjectures about zeros of Riemann’s zeta function

New conjectures about zeros of Riemann’s zeta function

Thu, 26/01/2012
16:00 		Yu V Matiyasevich (Steklov Institute of Mathematics) Logic Seminar Add to calendar
Number Theory Seminar Add to calendar 		L3
New conjectures about zeros of Riemann’s zeta function
In http://logic.pdmi.ras.ru/~yumat/personaljournal/artlessmethod/artlessmethod.php the speaker described a surprising method for (approximate) calculation of the zeros of Riemann’s zeta function using terms of the divergent Dirichlet series.In the talk this method will be presented together with some heuristic “hints” explaining why the divergence of the series doesn’t spoil its use. Several conjectures about the zeros of Riemann’s zeta function will be stated including supposed new relationship between them and the prime numbers.