A database of rigorous Maass forms

TL;DR

This paper introduces a rigorously computed database of Maass forms on congruence subgroups, providing valuable data for researchers and advancing computational methods in automorphic forms.

Contribution

It presents the first comprehensive database of rigorously computed Maass forms on various congruence subgroups, along with the computational techniques used.

Findings

First database of rigorously computed Maass forms.

Demonstrates effective computational methods for automorphic forms.

Provides data useful for further research in number theory.

Abstract

We announce a database of rigorously computed Maass forms on congruence subgroups $\Gamma_0(N)$ and briefly describe the methods of computation.