Erin Pierce

collaborators

2 papers

math.NT2025

On the rationality of a paramodular Siegel Eisenstein series

Erin Pierce

We consider the rationality of the Fourier coefficients of a particular paramodular Siegel Eisenstein series of level $N^{2}$ with weight $k \geq 4$ . We show that the coefficients lie…

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…