How is the Eichler-Shimura congruence related to L-functions? – mathoverflow.net

How is the Eichler-Shimura congruence related to L-functions? – mathoverflow.net

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My understanding is that the Eichler-Shimura relation expresses the Hecke operator $T_p$ in terms of the geometric Frobenius map. Specifically, $T_p = Frob + Ver$ for Frobenius map $Frob$ and it's ...

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