Byungchul Cha : Linear independence of zeta zeros in function fields

Posted by Ramin Takloo-Bighash , part of the Number Theory Seminar.

At

Oct. 21, 2009, 3:30 p.m.

In

SEO 712

Abstract

The Linear Independence (LI) assumption states that the set of nonnegative ordinates of critical zeros of zeta/L-functions is linearly independent over rational. In this talk, we present the function field version of LI and its applications to prime number races using techniques of Rubinstein and Sarnak. In the second part of this talk, we will study another application of LI in connection with the growth rate of the summatory function of Moebius function in the function field setting.