On the trace of Hecke Operators for Maass forms for congruence subgroups
Number Theory
2007-05-23 v1
Abstract
Let E_lambda be a Hilbert space, whose elements are functions spanned by the eigenfunctions of the Laplace-Beltrami operator associated with an eigenvalue lambda>0. The norm of elements in this space is given by the Petersson inner product. In this paper, the trace of Hecke operators T_n acting on the space E_lambda is computed for congruence subgroups of Gamma_0(N) of square free level, which may be considered as the analogue of the Eichler-Selberg trace formula [11] for non-holomorphyic cusp forms of weight zero.
Keywords
Cite
@article{arxiv.math/9907197,
title = {On the trace of Hecke Operators for Maass forms for congruence subgroups},
author = {J. Brian Conrey and Xian-Jin Li},
journal= {arXiv preprint arXiv:math/9907197},
year = {2007}
}