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Fundamental theorem of prehomogeneous vector spaces of characteristic p

Published online by Cambridge University Press:  17 April 2009

Tatsuo Kimura ,
Takeyoshi Kogiso  and
Makiko Fujinaga
Tatsuo Kimura
Affiliation:
Institute of MathematicsUniversity of Tsukuba, Ibaraki 305Japan
Takeyoshi Kogiso
Affiliation:
Institute of MathematicsUniversity of Tsukuba, Ibaraki 305Japan
Makiko Fujinaga
Affiliation:
Institute of MathematicsUniversity of Tsukuba, Ibaraki 305Japan
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Abstract

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For a local field of characteristic 0, the functional equations of zeta distributions of prehomogeneous vector spaces have been obtained by M. Sato, Shintani, Igusa, F. Sato and Gyoja. In this paper, we shall consider the case of local fields of characteristic p > 0.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 331 - 341
Copyright
Copyright © Australian Mathematical Society 1997

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