scholarly journals Zeta functions in several variables associated with prehomogeneous vector spaces, I. Functional equations

1981 ◽  
Vol 57 (1) ◽  
pp. 74-79
Author(s):  
Fumihiro Sato
Keyword(s):  
Functional Equations ◽  
Zeta Functions ◽  
Vector Spaces ◽  
Several Variables ◽  
Prehomogeneous Vector Spaces

On Zeta Functions Associated with Prehomogeneous Vector Spaces

1974 ◽  
Vol 100 (1) ◽  
pp. 131 ◽  
Author(s):  
Mikio Sato ◽  
Takuro Shintani
Keyword(s):  
Zeta Functions ◽  
Vector Spaces ◽  
Prehomogeneous Vector Spaces

scholarly journals Fundamental theorem of prehomogeneous vector spaces of characteristic p

1997 ◽  
Vol 56 (2) ◽  
pp. 331-341
Author(s):  
Tatsuo Kimura ◽  
Takeyoshi Kogiso ◽  
Makiko Fujinaga
Keyword(s):  
Local Field ◽  
Fundamental Theorem ◽  
Functional Equations ◽  
Local Fields ◽  
Vector Spaces ◽  
Characteristic P ◽  
Prehomogeneous Vector Spaces

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.

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