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A method for computing general automorphic forms on general groups

A method for computing general automorphic forms on general groups

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.