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arXiv:1212.4545 [math.NT]AbstractReferencesReviewsResources

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

David W. Farmer, Sally Koutsoliotas, Stefan Lemurell

Published 2012-12-19Version 1

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).

Comments: 19 pages, 2 figures
Categories: math.NT
Subjects: 11F37, 11M41, 11F66
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