On primitive elements in finite fields and on elliptic curves

I. E. Shparlinskiĭ

doi:10.1070/SM1992v071n01ABEH001389

On primitive elements in finite fields and on elliptic curves

I. E. Shparlinskiĭ^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

An asymptotic formula for the number of primitive polynomials of the form f (x) + a, a = 1,…, h, where f (x)∈ F_p [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.

Original language	English
Pages (from-to)	41-50
Number of pages	10
Journal	Mathematics of the USSR - Sbornik
Volume	71
Issue number	1
DOIs	https://doi.org/10.1070/SM1992v071n01ABEH001389
Publication status	Published - 28 Feb 1992
Externally published	Yes

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10.1070/SM1992v071n01ABEH001389

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abstract = "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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AB - 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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JF - Mathematics of the USSR - Sbornik

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On primitive elements in finite fields and on elliptic curves

Abstract

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