Ralf Schmidt

collaborators

3 papers

math.NT2026

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.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.NT2025

Multiplicity one for $L$ -functions and applications

David W. Farmer, Ameya Pitale, Nathan C. Ryan +1

We give conditions for when two Euler products are the same given that they satisfy a functional equation and their coefficients are not too large and do not differ from each other…

Simple supercuspidal representations of GSp4​ and test vectors

Siegel Eisenstein Series with Paramodular Level

Multiplicity one for L-functions and applications

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

Multiplicity one for $L$ -functions and applications