Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Evaluating Jacquet's $\mathbf{{\rm GL}(n)}$ Whittaker function

Author(s): Kevin A. Broughan.
Journal: Math. Comp. 78 (2009), 1061-1072.
MSC (2000): Primary 33C15, 22E30, 11E57, 11E76
Posted: August 28, 2008
MathSciNet review: 2476570
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Algorithms for the explicit symbolic and numeric evaluation of Jacquet's Whittaker function for the $GL(n,\mathbb{R})$ based generalized upper half-plane for $n\ge 2$ , and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature.

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