Applications of the Kuznetsov formula on GL(3): the level aspect
arXiv:1410.5106
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.
The present version contains an updated version of Lemma 4 closing a small gap in the proof of Theorem 1