Maass Forms on GL(3) and GL(4)
Artikel i vetenskaplig tidskrift, 2014

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).

Euler product

L-functions

High degree

Maass forms

Numerical calculations

Författare

David W. Farmer

American Institute of Mathematics

Sally Koutsoliotas

Bucknell University

Stefan Lemurell

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

International Mathematics Research Notices

1073-7928 (ISSN) 1687-0247 (eISSN)

Vol. 22 22 6276-6301

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1093/imrn/rnt145