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