Local Zeta Functions of Certain Prehomogeneous Vector Spaces

1992 ◽  
Vol 114 (2) ◽  
pp. 251 ◽  
Author(s):  
Jun-Ichi Igusa
Keyword(s):  
Zeta Functions ◽  
Vector Spaces ◽  
Prehomogeneous Vector Spaces ◽  
Local Zeta Functions

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

GLOBAL ZETA FUNCTIONS OF FREUDENTHAL QUARTICS

2002 ◽  
Vol 13 (08) ◽  
pp. 797-820
Author(s):  
HIROSHI SAITO
Keyword(s):  
Vector Space ◽  
Zeta Function ◽  
Explicit Formula ◽  
Explicit Form ◽  
Zeta Functions ◽  
The Other ◽  
Vector Spaces ◽  
Prehomogeneous Vector Space ◽  
Prehomogeneous Vector Spaces

We give two applications of an explicit formula for global zeta functions of prehomogeneous vector spaces in Math. Ann.315 (1999), 587–615. One is concerned with an explicit form of global zeta functions associated with Freudenthal quartics, and the other the comparison of the zeta function of a unsaturated prehomogeneous vector space with that of the saturated one obtained from it.

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