2018/06/28 by Zhou, Fan
#11F30 #11F55 #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1806.10786
Firstly we prove that the Voronoi formula of Miller-Schmid type applies to automorphic forms on GL(3) for the congruence subgroup Γ0(N), when the conductor of the additive character in the formula is a multiple of N. As an application, we produce a result about the functional equation of L-function of the automorphic form on GL(3) twisted by Dirichlet characters. Secondly we prove that a similar formula applies to automorphic forms on GL(3) for the congruence subgroup Γ0(N), when the conductor of the additive character in the formula is coprime with N.