Mellin transforms of p-adic Whittaker functions

Details Mellin transforms of p-adic Whittaker functions Mellin transforms of p-adic Whittaker functions

2001-09-18

arxiv.org/abs/math/0109121v1

Mathematics

Number Theory

23 pages LATEX

Scientific paper

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.

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