Maass forms on GL(3) and GL(4)
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 u...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.1212.4545 |