Arithmetic calculus of Fourier transforms by Igusa local zeta functions
Author:
Tatsuo Kimura
Journal:
Trans. Amer. Math. Soc. 346 (1994), 297-306
MSC:
Primary 11S40; Secondary 11S80, 20G20
DOI:
https://doi.org/10.1090/S0002-9947-1994-1267223-5
MathSciNet review:
1267223
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Abstract | References | Similar Articles | Additional Information
Abstract: We show the possibility of explicit calculation of the Fourier transforms of complex powers of relative invariants of some prehomogeneous vector spaces over by using the explicit form of
-adic Igusa local zeta functions.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1994-1267223-5
Keywords:
Prehomogeneous vector spaces,
Iwasawa-Tate theory
Article copyright:
© Copyright 1994
American Mathematical Society