A method for computing general automorphic forms on general groups
Number Theory
2009-07-23 v3 Spectral Theory
Abstract
This article describes a general method for computing automorphic forms using Voronoi-type summation formulas. It gives a numerical example where the technique is successful in quickly finding a cusp form on GL(3,Z)\GL(3,R), albeit one whose existence was already known as a Langlands lift.
Keywords
Cite
@article{arxiv.0801.3299,
title = {A method for computing general automorphic forms on general groups},
author = {Stephen D. Miller},
journal= {arXiv preprint arXiv:0801.3299},
year = {2009}
}
Comments
v1:6 pages v2:updates to mention recent computational work by other researchers v3:7 pages, updates and adds some comments and references