A method for computing general automorphic forms on general groups

Details A method for computing general automorphic forms on general groups A method for computing general automorphic forms on general groups

2008-01-22

arxiv.org/abs/0801.3299v3

Mathematics

Number Theory

v1:6 pages v2:updates to mention recent computational work by other researchers v3:7 pages, updates and adds some comments and

Scientific paper

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.

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