TY - JOUR
T1 - Fourier–Jacobi periods and the central value of Rankin–Selberg L-functions
AU - Xue, Hang
N1 - Publisher Copyright:
© 2016, Hebrew University of Jerusalem.
PY - 2016/5/1
Y1 - 2016/5/1
N2 - In this paper, we propose a conjectural formula, relating the Fourier–Jacobi periods of automorphic forms on U(n)×U(n) and the central value of some Rankin–Selberg L-function. This can be viewed as a refinement of the Gan–Gross–Prasad conjecture for unitary groups. We then use the relative trace formula technique to prove this conjectural formula in some cases. We also have give applications to the conjecture of Ichino–Ikeda and N. Harris on the Bessel period of automorphic forms on unitary groups.
AB - In this paper, we propose a conjectural formula, relating the Fourier–Jacobi periods of automorphic forms on U(n)×U(n) and the central value of some Rankin–Selberg L-function. This can be viewed as a refinement of the Gan–Gross–Prasad conjecture for unitary groups. We then use the relative trace formula technique to prove this conjectural formula in some cases. We also have give applications to the conjecture of Ichino–Ikeda and N. Harris on the Bessel period of automorphic forms on unitary groups.
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U2 - 10.1007/s11856-016-1300-2
DO - 10.1007/s11856-016-1300-2
M3 - Article
AN - SCOPUS:84970005789
SN - 0021-2172
VL - 212
SP - 547
EP - 633
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -