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

Zhang, Wei¹

¹ Department of Mathematics, Columbia University, MC 4423, 2990 Broadway, New York, New York 10027

Journal of the American Mathematical Society, Tome 27 (2014) no. 2, pp. 541-612

Résumé

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.

Détail

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

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