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Real quadratic base changes for $\mathrm{GL}_3$ and integral periods relations

Ricoul, Tristan
arXiv (All) · Papers
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number-theory
We prove a $p$-adic divisibility between the automorphic periods of a cuspidal automorphic representation of $\mathrm{GL}_3(\mathbb{Q})$ and the periods of its Arthur-Clozel's base change to some real quadratic field $E$. This generalizes earlier works of Tilouine-Urban and of Hida in the case of cl
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