Higher Selberg zeta functions for congruence subgroups
Tetsuya Momotani
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 L-function. Then we determine the gamma factor explicitly in terms of the Barnes triple gamma function and the higher Dirichlet L-function.
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