Evaluating Whittaker functions and Maass forms for 𝑆𝐿(3,ℤ)-Reference-Cited by-同舟云学术

Evaluating Whittaker functions and Maass forms for 𝑆𝐿(3,ℤ)

Published:2011-04-13 Issue:276 Volume:80 Page:2299-2313
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Mezhericher Borislav

Abstract

We present and compare several algorithms for evaluating Jacquet’s Whittaker functions for S L ( 3 , Z ) SL(3,\mathbb {Z}) . The most suitable algorithm is then applied to the problem of evaluating a Maass form for S L ( 3 , Z ) SL(3,\mathbb {Z}) with known eigenvalues and Fourier coefficients.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2011-80-276/S0025-5718-2011-02499-3/S0025-5718-2011-02499-3.pdf

Reference22 articles.

1. Unramified Whittaker functions for 𝐺𝐿(3,𝑅);Bump, Daniel;J. Anal. Math.,1995

2. Computing 𝐺𝐿(3) automorphic forms;Bian, Ce;Bull. Lond. Math. Soc.,2010

3. [Bia10b] \bysame, Refining GL(3) forms, 2010, http://www.maths.bris.ac.uk/~macxb/.

4. Uncovering a new 𝐿-function;Booker, Andrew R.;Notices Amer. Math. Soc.,2008

5. Computing Casimir operators for the generalized upper half plane;Broughan, Kevin A.;Int. J. Pure Appl. Math.,2007

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