Applications of the Kuznetsov formula on GL(3): the level aspect
Number Theory
2017-07-12 v2
Abstract
We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelof on average type bound for the sixth moment of GL(3) L-functions in the level aspect, an automorphic large sieve inequality, density results for exceptional eigenvalues and density results for Maass forms violating the Ramanujan conjecture at finite places.
Keywords
Cite
@article{arxiv.1410.5106,
title = {Applications of the Kuznetsov formula on GL(3): the level aspect},
author = {Valentin Blomer and Jack Buttcane and Péter Maga},
journal= {arXiv preprint arXiv:1410.5106},
year = {2017}
}
Comments
The present version contains an updated version of Lemma 4 closing a small gap in the proof of Theorem 1