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

David W. Farmer ; Sally Koutsoliotas ; Stefan Lemurell (Institutionen för matematiska vetenskaper, matematik)
International mathematics research notices (1073-7928). Vol. 22 (2014), p. 6276-6301.
[Artikel, refereegranskad vetenskaplig]

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 (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).

Nyckelord: L-functions, Maass forms, Numerical calculations, High degree, Euler product

Denna post skapades 2013-12-16. Senast ändrad 2015-12-17.
CPL Pubid: 189324


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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Algebra och geometri

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