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

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

2009-10-18

arxiv.org/abs/0910.3344v1

Mathematics

Number Theory

13 pages; this is a revised chapter of the author's PhD thesis

Scientific paper

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

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