most citedSymmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions

2 citations · 2 across the 3 of their papers we have counts for

collaborators
Showing math.NTShow all

3 papers · 1 filter

math.NT2025

Asymptotics for the Enumeration of Commuting Matrices over Finite Fields

Kathrin Bringmann, Shane Chern, Johann Franke +1

We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.

math.NT2010★ 2 cited

Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions

Bernhard Heim, Atsushi Murase

Let q be an integral quadratic form of signature (2,m+2). We will show that the Siegel theta functions attached to q satisfies certain symmetries. As an application, we prove the s…

math.NT2010

A characterization of the Maass space on O(2, m+2) by symmetries

Bernhard Heim, Atsushi Murase

In this paper, we define certain symmetries for automorphic forms on O(2, m+2) and show that the space of automorphic forms satisfying these symmetries coincides with the Maass spa…