Higher Selberg zeta functions for congruence subgroups

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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.
30pages

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Number Theory, Representation Theory, 11M36, 11M06

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http://salesiana.dossiersoluciones.com/handle/123456789/101175

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504073
 http://arxiv.org/abs/math/0504073

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arXiv