Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian
نویسندگان
چکیده
We give a general method for tabulating all cubic function fields over Fq(t) whose discriminant D has odd degree, or even degree such that the leading coefficient of −3D is a non-square in Fq , up to a given bound on |D| = q. The main theoretical ingredient is a generalization of a theorem of Davenport and Heilbronn to cubic function fields. We present numerical data for cubic function fields over F5 and over F7 with deg(D) ≤ 7 and deg(D) odd in both cases.
منابع مشابه
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تاریخ انتشار 2008