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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Casselman-Shalika formula for a distinguished model


Author: William D. Banks
Journal: Proc. Amer. Math. Soc. 123 (1995), 681-692
MSC: Primary 11F70; Secondary 22E35
MathSciNet review: 1219718
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Abstract: Unramified Whittaker functions and their analogues occur naturally in number theory as terms in the Fourier expansions of automorphic forms. Precise information about these functions is useful in many aspects of study, such as in the construction of L-functions. In this paper, the method of Casselman and Shalika is used to derive explicit values for the analogue of the unramified Whittaker function in a distinguished model that arises in connection with quadratic base change.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1219718-4
PII: S 0002-9939(1995)1219718-4
Article copyright: © Copyright 1995 American Mathematical Society