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Higher Selberg zeta functions for congruence subgroups

数论 2007-05-23 v2 表示论

摘要

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 LL-function. Then we determine the gamma factor explicitly in terms of the Barnes triple gamma function and the higher Dirichlet LL-function.

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引用

@article{arxiv.math/0504073,
  title  = {Higher Selberg zeta functions for congruence subgroups},
  author = {Tetsuya Momotani},
  journal= {arXiv preprint arXiv:math/0504073},
  year   = {2007}
}

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30pages