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A divisibility of automorphic periods for the real quadratic base change of $\mathrm{GL}_3$
We prove a $p$-adic divisibility between the automorphic periods of a cuspidal automorphic representation $π$ of $\mathrm{GL}_3(\mathbb{Q})$ and the periods of its Arthur-Clozel base change to a real quadratic field $E$. As a corollary, we establish a divisibility predicted by the Bloch-Kato conject
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