English

The second moment of Maass form symmetric square L-functions at the central point

Number Theory 2024-08-13 v1

Abstract

Recently R.Khan and M.Young proved a mean Lindel\"{o}f estimate on the second moment of central values of Maass form symmetric-square LL-function on the interval T<tj<T+T1/5+ϵT<|t_j|<T+T^{1/5+\epsilon}, where tjt_j is a spectral parameter of the Maass form. We provide another proof of this result.

Keywords

Cite

@article{arxiv.2408.05929,
  title  = {The second moment of Maass form symmetric square L-functions at the central point},
  author = {Dmitry Frolenkov},
  journal= {arXiv preprint arXiv:2408.05929},
  year   = {2024}
}