On the Distribution of Zeroes of Artin-Schreier L-functions

Abstract

We study the distribution of the zeroes of the L-functions of curves in the Artin-Schreier family. We consider the number of zeroes in short intervals and obtain partial results which agree with a random unitary matrix model.

References in corpus (1)

• A Symplectic Test of the L-Functions Ratios Conjecture