THE GAN–GROSS–PRASAD CONJECTURE FOR U(n)×U(n)
نویسنده
چکیده
We prove the Gan–Gross–Prasad conjecture for U(n)×U(n) under some local conditions using a relative trace formula. We deduce some new cases of the Gan–Gross–Prasad conjecture for U(n+1)×U(n) from the case of U(n)×U(n).
منابع مشابه
Fourier–jacobi Periods and the Central Value of Rankin–selberg L-functions
1.1. The refined Gan–Gross–Prasad conjecture. In this paper, as a sequel of [Xue14], we formulate a refinement to the global Gan–Gross–Prasad conjecture for the Fourier–Jacobi periods on U(n) × U(n) and prove it under some local conditions, assuming some expected properties of the L-packets and some parts of the local Gan–Gross–Prasad conjecture. This refinement is modeled on some recent work o...
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