A mean value of a triple product of $L$-functions
Number Theory
2016-06-17 v4
Abstract
Luo has proven an optimal upper bound for the -norm of dihedral Maass forms of large eigenvalue, by bounding a mean value of triple product -functions. Motivated by this result, we study a mean value of -functions having similar shape, and obtain for it an asymptotic with power savings. Our work may be helpful in eventually obtaining an asymptotic for the -norm.
Keywords
Cite
@article{arxiv.1411.4541,
title = {A mean value of a triple product of $L$-functions},
author = {Jack Buttcane and Rizwanur Khan},
journal= {arXiv preprint arXiv:1411.4541},
year = {2016}
}