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- Title
Maass Forms on GL(3) and GL(4).
- Authors
Farmer, David W.; Koutsoliotas, Sally; Lemurell, Stefan
- Abstract
We describe a practical method for finding an L-function without first finding an associated underlying object. The procedure involves using the Euler product, the Ramanujan bound, 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 and to give the first examples of Maass forms of higher level on GL(3), and on GL(4) and Sp(4).
- Subjects
MODULAR forms; MATHEMATICAL functions; FUNCTIONAL equations; MATHEMATICAL bounds; L-functions; EULER products
- Publication
IMRN: International Mathematics Research Notices, 2014, Vol 2014, Issue 22, p6276
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnt145