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

Mezhericher, Borislav

doi:10.1090/S0025-5718-2011-02499-3

Evaluating Whittaker functions and Maass forms for $SL(3,\mathbb {Z})$
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Math. Comp. 80 (2011), 2299-2313 Request permission

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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