English

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

Number Theory 2007-06-25 v3

Abstract

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

Keywords

Cite

@article{arxiv.math/0604334,
  title  = {On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1},
  author = {Jianya Liu and Emmanuel Royer and Jie Wu},
  journal= {arXiv preprint arXiv:math/0604334},
  year   = {2007}
}

Comments

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