Automorphic period and the central value of Rankin--Selberg L-function
Number Theory
2014-02-18 v4 Representation Theory
Abstract
We prove a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N. Harris for unitary groups under some local conditions. We need to assume some expected properties of L-packets and some part of the local Gan-Gross-Prasad conjecture.
Keywords
Cite
@article{arxiv.1208.6280,
title = {Automorphic period and the central value of Rankin--Selberg L-function},
author = {Wei Zhang},
journal= {arXiv preprint arXiv:1208.6280},
year = {2014}
}
Comments
v4: Final version, slightly different from the published version. v3: the local result for a split archimedean place; some mistakes/typos corrected; the main result remains