Paul Boisseau

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20242026

most citedThe global Gan--Gross--Prasad conjecture for Fourier--Jacobi periods on unitary groups I: Coarse expansions of the relative trace formulae

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math.NT2026

The fine spectral expansion of the Rankin-Selberg period

Paul Boisseau

We state and prove the spectral expansion of the theta series attached to the Rankin-Selberg spherical variety $(GL_{n + 1} \times GL_{n}) / GL_{n}$ . This is a k…

math.NT2025

Residues of Rankin-Selberg Zeta integrals and the split non-tempered Gan-Gross-Prasad conjectures

Paul Boisseau

We construct a regularization of the Rankin-Selberg period on general linear groups for non-tempered automorphic representations using residues of Zeta integrals. We prove that it…