The second moment of symmetric square L-functions over Gaussian integers
Number Theory
2023-06-22 v1
Abstract
We prove a new upper bound on the second moment of Maass form symmetric square L-functions defined over Gaussian integers. Combining this estimate with the recent result of Balog-Biro-Cherubini-Laaksonen, we improve the error term in the prime geodesic theorem for the Picard manifold.
Keywords
Cite
@article{arxiv.2008.13399,
title = {The second moment of symmetric square L-functions over Gaussian integers},
author = {Olga Balkanova and Dmitry Frolenkov},
journal= {arXiv preprint arXiv:2008.13399},
year = {2023}
}