Factorization of arithmetic automorphic periods

Published 3 May 2017 in math.NT | (1705.01400v1)

Abstract: In this paper, we prove that the arithmetic automorphic periods for $GL_{n}$ over a CM field factorize through the infinite places. This generalizes a conjecture of Shimura in 1983, and is predicted by the Langlands correspondence between automorphic representations and motives.

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Jie Lin

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