有限域和椭圆曲线上的原始元

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V071N01ABEH001389

I. E. Shparlinskii

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引用次数: 27

摘要

形式为f (x) + a, a = 1，…的原始多项式个数的渐近公式， h，其中得到f (x)Fp[x]，对所有固定次多项式f的“平均”，也得到了“稀疏”可因子多项式个数的估计。

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ON PRIMITIVE ELEMENTS IN FINITE FIELDS AND ON ELLIPTIC CURVES

An asymptotic formula for the number of primitive polynomials of the form f (x) + a, a = 1, ..., h, where f (x)Fp[x], is obtained, "on the average" over all polynomials f of fixed degree, and an estimate for the number of "sparse" factorable polynomials is also obtained.

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Mathematics of The Ussr-sbornik

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