论文标题

霍奇类型和代数模块化形式的汽车形式(mod $ p $)的Hecke特征系统

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

论文作者

Terakado, Yasuhiro, Yu, Chia-Fu

论文摘要

我们表明,与代数组$ g/\ hodge类型相关的良好prime $ p $ pm \ pmod p $引起的prime至$ p $ p $ hecke eigenvalues hecod p $ p $与$ g/\ mathbb q $相同的$ g/\ mathbb q $与$ \ pmod pmod $ \ pmod p $与g $相关的$ pmod pmod p $与g $ g $ g $ g $相同。

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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