Factorization of arithmetic automorphic periods

Abstract

In this paper, we prove that the arithmetic automorphic periods for $G{L}_n$ 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.

Part of the thesis of the author

References in corpus (3)

• Period relations for automorphic induction and applications, I
• Period relations for automorphic forms on unitary groups and critical values of $L$-functions
• Galois equivariance of critical values of $L$-functions for unitary groups