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arXiv · 1212.4545

Maass forms on GL(3) and GL(4)

David W. Farmer·Sally Koutsoliotas·Stefan Lemurell
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Abstract

We describe a practical method for finding an L-function without first finding the associated underlying object. The procedure involves using the Euler product and the approximate functional equation in a new way. No use is made of the functional equation of twists of the L-function. The method is used to find a large number of Maass forms on SL(3,Z) and to give the first examples of Maass forms of higher level on GL(3), and on GL(4) and Sp(4).

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David W. Farmer, Sally Koutsoliotas, Stefan Lemurell. 2012-12-19. Maass forms on GL(3) and GL(4). https://arxiv.org/abs/1212.4545

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