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Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups

Refined global Gan–Gross–Prasad conjecture for Fourier–Jacobi periods on symplectic groups

In this paper, we propose a conjectural identity between the Fourier–Jacobi periods on symplectic groups and the central value of certain Rankin–Selberg and the automorphic representation on the bigger group is endoscopic.