Number Theory Seminar
Byungchul Cha
Muhlenberg College
Linear independence of zeta zeros in function fields
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.
Wednesday October 21, 2009 at 3:30 PM in SEO 712