The formula for whittaker–shintani functions aids in proving the gan–gross–prasad conjecture and ichino–ikeda conjecture.
We state and prove a formula for the Whittaker–Shintani functions associated to Fourier–Jacobi models for p-adic unitary groups and general linear groups. These generalized spherical functions play a fundamental role in the proof of the Gan–Gross–Prasad conjecture for Fourier–Jacobi models. As an application, we prove the unramified Ichino–Ikeda conjecture.
No takes yet. Share an insight, caveat, or question.
Paul Boisseau (2025) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: