Higher Selberg zeta functions for congruence subgroups

2005/04/05 by Tetsuya Momotani, Momotani, Tetsuya
Mathematics · #11M06 #11M36 #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11M06 #msc:11M36

paper · pdf · doi:10.48550/arxiv.math/0504073

30pages

arxiv created 2006/09/27 · arxiv updated 2009/12/01

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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