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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 13 Aug 2013Embargo end date: 01 Dec 2012 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,014, pages 6,276-6,301 (issn: 1073-7928, eissn: 1687-0247,

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Authors: Farmer, David W.; Koutsoliotas, Sally; Lemurell, Stefan;

doi: 10.1093/imrn/rnt145 , 10.48550/arxiv.1212.4545

arXiv: 1212.4545

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

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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).

19 pages, 2 figures

Related Organizations

University of Gothenburg
Sweden
Chalmers University of Technology
Sweden
Bucknell University
United States
American Institute of Mathematics
United States

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), 11F37, 11M41, 11F66

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