English

Uniform distribution of zeroes of $L$-functions of modular forms

Number Theory 2014-12-10 v1

Abstract

We prove under GRH that zeros of LL-functions of modular forms of level NN and weight kk become uniformly distributed on the critical line when N+k.N+k\to\infty.

Keywords

Cite

@article{arxiv.1412.2990,
  title  = {Uniform distribution of zeroes of $L$-functions of modular forms},
  author = {Alexey Zykin},
  journal= {arXiv preprint arXiv:1412.2990},
  year   = {2014}
}