DEFINITE REGULAR QUADRATIC FORMS OVER F q [ T ]
نویسنده
چکیده
Let q be a power of an odd prime, and Fq[T ] be the ring of polynomials over a finite field Fq of q elements. A quadratic form f over Fq [T ] is said to be regular if f globally represents all polynomials that are represented by the genus of f . In this paper, we study definite regular quadratic forms over Fq [T ]. It is shown that for a fixed q, there are only finitely many equivalence classes of regular definite primitive quadratic forms over Fq [T ], regardless of the number of variables. Characterizations of those which are universal are
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تاریخ انتشار 2005