English

Spectral decomposition formula and moments of symmetric square L-functions

Number Theory 2020-11-12 v1

Abstract

We prove a spectral decomposition formula for averages of Zagier L-series in terms of moments of symmetric square L-functions associated to Maass and holomorphic cusp forms of levels 4, 16, 64.

Keywords

Cite

@article{arxiv.2011.05952,
  title  = {Spectral decomposition formula and moments of symmetric square L-functions},
  author = {Olga Balkanova},
  journal= {arXiv preprint arXiv:2011.05952},
  year   = {2020}
}