Higher Selberg zeta functions for congruence subgroups

Tetsuya Momotani

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Higher Selberg zeta functions for congruence subgroups

Tetsuya Momotani

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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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Tetsuya Momotani. 2006-09-27. Higher Selberg zeta functions for congruence subgroups. https://arxiv.org/abs/math/0504073

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