On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms

@article{Takase1986OnTT,
  title={On the trace formula of the Hecke operators and the special values of the second L-functions attached to the Hilbert modular forms},
  author={Koichi Y. Takase},
  journal={manuscripta mathematica},
  year={1986},
  volume={55},
  pages={137-170}
}
  • K. Takase
  • Published 1 June 1986
  • Mathematics
  • manuscripta mathematica
In this paper, we consider 1) the explicit formula of the trace of the Hecke operators acting on the space of the Hilbert cusp forms, and 2) the special values of the second L-functions attached to the Hilbert cusp forms. The method is that of Zagier[12], and the results of this paper are the generalization of his results to the case of the Hilbert modular forms for the congruence subgroup Γ0 (M). 
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