Higher Selberg zeta functions for congruence subgroups

Details Higher Selberg zeta functions for congruence subgroups Higher Selberg zeta functions for congruence subgroups

2005-04-05

arxiv.org/abs/math/0504073v2

Mathematics

Number Theory

30pages

Scientific paper

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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