Zeta functions of prehomogeneous affine spaces
نویسندگان
چکیده
منابع مشابه
On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras
— In this paper we consider the prehomogeneous vector space for a pair of simple algebras which are inner forms of the D4 type and the E6 type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces when the simple algebras are non-split. We also give a description of the sets of rational ...
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In this paper, we consider the prehomogeneous vector space for pair of simple algebras which are k-forms of the D4 type and the E6 type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces in the non-split cases. We also give a description of the sets of rational orbits of these spaces,...
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For an arbitrary number field K with ring of integers OK , we prove an analogue over finite rings of the form OK/p of the Fundamental Theorem on the Fourier transform of a relative invariant of prehomogeneous vector spaces, where p is a big enough prime ideal of OK and m > 1. In the appendix, F. Sato gives an application of the Theorems 1.2 and 1.5 (and Theorems A, B, C in [4]) to the functiona...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 1993
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000004657