paper

Higher Selberg zeta functions for congruence subgroups

arXiv:math/0504073

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.

30pages

Higher Selberg zeta functions for congruence subgroups · wovepaper