paper

On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1

arXiv:math/0604334

Abstract

In this paper, we prove a weaker form of a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1.

31 pages. A first version of this paper previously circulated under the title "Distribution function of values of random Euler products at 1". To appear at proceedings for the conference on "Anatomy of integers", Montreal 2006

On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1 · wovepaper