arXiv:1208.6280 [math.NT]AbstractReferencesReviewsResources
Automorphic period and the central value of Rankin--Selberg L-function
Published 2012-08-30, updated 2014-02-16Version 4
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.
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
Journal: J. Amer. Math. Soc. 27 (2014), 541-612
Keywords: central value, rankin-selberg l-function, automorphic period, local gan-gross-prasad conjecture, global gan-gross-prasad conjecture
Tags: journal article
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