Mellin transforms of padic Whittaker functions
Abstract
It is shown that Mellin transforms of padic 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 Lfactors times normalization factors.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2001
 arXiv:
 arXiv:math/0109121
 Bibcode:
 2001math......9121D
 Keywords:

 Number Theory
 EPrint:
 23 pages LATEX