The distribution of values of polynomials over a finite field

DOI10.1016/0024-3795(90)90013-3zbMath0705.11077OpenAlexW1993886808MaRDI QIDQ917600

John Knopfmacher, Arnold Knopfmacher

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90013-3

zbMATH Keywords

finite fieldpolynomial ringvariancenumber of distinct valuesnumber of monic polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

On the value set of small families of polynomials over a finite field, II ⋮ Computational problems in the theory of finite fields ⋮ Factorization patterns on nonlinear families of univariate polynomials over a finite field

Cites Work

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• Note on the mean value of $V \left( f \right)$
• Note on the mean value of $V \left( f \right)$, III
• Counting polynomials with a given number of zeros in a finite field
• The values of a polynomial over a finite field

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