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arXiv · 2006.14342

Hecke eigensystems of automorphic forms (mod $p$) of Hodge type and algebraic modular forms

Yasuhiro Terakado·Chia-Fu Yu
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Abstract

We show that the systems of prime-to-$p$ Hecke eigenvalues arising from automorphic forms$\pmod p$ for a good prime $p$ associated to an algebraic group $G/\mathbb Q$ of Hodge type are the same as those arising from algebraic modular forms$\pmod p$ associated to an inner form of $G$.

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Yasuhiro Terakado, Chia-Fu Yu. 2020-06-25. Hecke eigensystems of automorphic forms (mod $p$) of Hodge type and algebraic modular forms. https://arxiv.org/abs/2006.14342

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