Zeta functions of prehomogeneous affine spaces
Keyword(s):
Let ρ be an algebraic homomorphism of a linear algebraic group G into the affine transformation group Aff(V) of a finite dimensional vector space V. We say that a triplet (G, V, ρ) is a prehomogeneous affine space, if there exists a proper algebraic subset S of V such that V — S is a single ρ(G)-orbit. In particular, (G, V, ρ) is a usual prehomogeneous vector space (PV, briefly) in the case where ρ(G) ⊂ GL(V) (cf. [5], [7]). In the preceding paper [2], we defined zeta functions associated with certain prehomogeneous affine spaces and proved their analytic continuation and functional equations.
1977 ◽
Vol 65
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pp. 1-155
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1985 ◽
Vol 98
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pp. 139-156
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1982 ◽
Vol 25
(2)
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pp. 133-139
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1970 ◽
Vol 22
(2)
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pp. 363-371
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1986 ◽
Vol 69
(4)
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pp. 37-46
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