Higher Selberg zeta functions for congruence subgroups
Number Theory
2007-05-23 v2 Representation Theory
Abstract
As a generalization of the results [KW3],we study the functional equation of the higher Selberg zeta function for congruence subgroups. To obtain the gamma factor of this function, we introduce a higher Dirichlet -function. Then we determine the gamma factor explicitly in terms of the Barnes triple gamma function and the higher Dirichlet -function.
Keywords
Cite
@article{arxiv.math/0504073,
title = {Higher Selberg zeta functions for congruence subgroups},
author = {Tetsuya Momotani},
journal= {arXiv preprint arXiv:math/0504073},
year = {2007}
}
Comments
30pages