Applications of the Kuznetsov formula on GL(3): the level aspect
  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. 
Valentin Blomer, Jack Buttcane, P\'eter Maga
math.NT