Distribution of irreducible polynomials of small degrees over finite fields

Author:

Ham Kie,Mullen Gary

Abstract

D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we prove that the conjecture is true in general by using machine calculation to verify the open cases remaining after Wan’s work.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference6 articles.

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3. The coefficients of primitive polynomials over finite fields;Han, Wen Bao;Math. Comp.,1996

4. Primitive polynomials over finite fields;Hansen, Tom;Math. Comp.,1992

5. Encyclopedia of Mathematics and its Applications;Lidl, Rudolf,1983

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