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Mellin transforms of p-adic Whittaker functions

✍ Scribed by Anton Deitmar

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
173 KB
Volume
261-262
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

It is shown that Mellin transforms of p‐adic Whittaker functions exist for generic characters. For good choices of vectors they are rational functions. For class one vectors they can be calculated explicitly. It turns out that they are automorphic L‐factors times normalization factors. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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