Automorphic period and the central value of Rankin-Selberg L-function

Zhang, Wei

doi:10.1090/S0894-0347-2014-00784-0

Automorphic period and the central value of Rankin-Selberg L-function
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by Wei Zhang;

J. Amer. Math. Soc. 27 (2014), 541-612

DOI: https://doi.org/10.1090/S0894-0347-2014-00784-0

Published electronically: January 27, 2014

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Abstract:

Using the relative trace formula of Jacquet and Rallis, under some local conditions we prove a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N. Harris for unitary groups. We need to assume some expected properties of L-packets and some part of the local Gan-Gross-Prasad conjecture.

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