English

A uniform asymptotic formula for the second moment of primitive L-functions on the critical line

Number Theory 2016-03-11 v1

Abstract

We prove an asymptotic formula for the second moment of automorphic L-functions of even weight and prime power level. The error term is estimated uniformly in all parameters: level, weight, shift and twist.

Keywords

Cite

@article{arxiv.1603.03134,
  title  = {A uniform asymptotic formula for the second moment of primitive L-functions on the critical line},
  author = {Olga Balkanova and Dmitry Frolenkov},
  journal= {arXiv preprint arXiv:1603.03134},
  year   = {2016}
}

Comments

45 pages