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On Zeta Functions Associated with Prehomogeneous Vector Spaces

โœ Scribed by Mikio Sato and Takuro Shintani


Book ID
123650960
Publisher
National Academy of Sciences
Year
1972
Tongue
English
Weight
276 KB
Volume
69
Category
Article
ISSN
0027-8424

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We show that there exist natural q-analogues of the b-functions for the prehomogeneous vector spaces of commutative parabolic type and calculate them explicitly in each case. Our method of calculating the b-functions seems to be new even for the original case q = 1.