Biplab Paul

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20182026

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math.NT2026

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 $Sp_{4}$ in new ramified cases and use this to formulate…

math.NT2019

Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two

Sanoli Gun, Winfried Kohnen, Biplab Paul

Let $F$ and $G$ be Siegel cusp forms for $\Sp_4(\Z)$ and weights $k_{1}, k_{2}$ respectively. Also let $F$ and $G$ be Hecke eigenforms lying in distinct eigen spaces. Further suppose t…

math.NT2018

On Hecke eigenvalues of Siegel modular forms in the Maass space

Sanoli Gun, Biplab Paul, Jyoti Sengupta

In this article, we prove an omega-result for the Hecke eigenvalues $λ_{F} (n)$ of Maass forms $F$ which are Hecke eigenforms in the space of Siegel modular forms of weight $k$ , genus…