Soumya Das

collaborators

4 papers

math.NT2026

Moments and joint nonvanishing of symplectic $L$ -functions

Valentin Blomer, Soumya Das

We compute an asymptotic formula for a moment involving the spinor and the standard $L$ -functions for holomorphic Siegel cusp forms of degree two and large weight $k$ . Applications…

math.NT2026

New and old Saito-Kurokawa lifts classically via $L^{2}$ norms and bounds on their supnorms: level aspect

Pramath Anamby, Soumya Das

In the first half of the paper, we lay down a classical approach to the study of Saito-Kurokawa (SK) lifts of (Hecke congruence) square-free level, including the allied new-oldform…

math.NT2026

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels

Pramath Anamby, Soumya Das

We prove the following statement about any Siegel modular form $F$ of degree $n$ and arbitrary odd level $N$ on the group $I^_{0}^{(n)} (N)$ . Let $A (F, T)$ denote the Fourier coeffic…

math.NT2025

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the $L^{2}$ -mass

Pramath Anamby, Soumya Das

We obtain the full spectral decomposition of the pullback of a Saito-Kurokawa (SK) newform $F$ of odd, square-free level; and show that the projections onto the elements $\mathbf g…

Moments and joint nonvanishing of symplectic L-functions

New and old Saito-Kurokawa lifts classically via L2 norms and bounds on their supnorms: level aspect

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the L2-mass

Moments and joint nonvanishing of symplectic $L$ -functions

New and old Saito-Kurokawa lifts classically via $L^{2}$ norms and bounds on their supnorms: level aspect

Pullbacks of Saito-Kurokawa lifts of square-free levels, their non-vanishing and the $L^{2}$ -mass