An explicit refined Gan--Gross--Prasad identity for Fourier--Jacobi periods of degree 2 Siegel cusp forms

Biplab Paul, Ameya Pitale, Abhishek Saha +1

We compute the local integrals appearing in the refined Gan--Gross--Prasad conjecture for Fourier--Jacobi periods of ${\mathrm{Sp}}_4$ in new ramified cases and use this to formulate…