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Mathematics of Computation

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Evaluating Whittaker functions and Maass forms for $ SL(3,\mathbb{Z})$


Author: Borislav Mezhericher
Journal: Math. Comp. 80 (2011), 2299-2313
MSC (2010): Primary 11-04, 11E76, 22E30
Published electronically: April 13, 2011
MathSciNet review: 2813362
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Abstract: We present and compare several algorithms for evaluating Jacquet's Whittaker functions for $ SL(3,\mathbb{Z})$. The most suitable algorithm is then applied to the problem of evaluating a Maass form for $ SL(3,\mathbb{Z})$ with known eigenvalues and Fourier coefficients.


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Additional Information

Borislav Mezhericher
Affiliation: 360 East South Water Street, Apt. 1808, Chicago, Illinois 60601
Email: mboris@gmail.com

DOI: https://doi.org/10.1090/S0025-5718-2011-02499-3
Received by editor(s): January 3, 2010
Received by editor(s) in revised form: September 30, 2010
Published electronically: April 13, 2011
Additional Notes: The research of the author was supported in part by Dorian Goldfeld’s NSF grant 0652554
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.