Ralf Schmidt

activity

20072026

most citedYoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions

37 citations · 138 across the 27 of their papers we have counts for

collaborators

30 papers

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.NT2025

Siegel Eisenstein Series with Paramodular Level

Erin Pierce, Ralf Schmidt

Starting with a primitive Dirichlet character of conductor $N$ , we construct a paramodular Siegel Eisenstein series of level $N^{2}$ and weight $k \geq 4$ . We calculate the Fourier exp…

math.NT2023

Simple supercuspidal representations of $GSp_{4}$ and test vectors

Ameya Pitale, Abhishek Saha, Ralf Schmidt

We consider simple supercuspidal representations of $GSp_{4}$ over a $p$ -adic field and show that they have conductor exponent 5. We study (paramodular) newvectors and minim…

math.NT2022

Stable Klingen Vectors and Paramodular Newforms

Jennifer Johnson-Leung, Brooks Roberts, Ralf Schmidt

We introduce the family of stable Klingen congruence subgroups of GSp(4). We use these subgroups to study both local paramodular vectors and Siegel modular forms of degree $2$ with…

math.NT2022★ 3 cited

Dimension formulas for Siegel modular forms of level $4$

Manami Roy, Ralf Schmidt, Shaoyun Yi

We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree $2$ with respect to certain congruence subgroups of level $4$ . In case of cusp forms,…

math.NT2021

Classical and adelic Eisenstein series