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Mathematics of Computation

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Distribution of irreducible polynomials
of small degrees over finite fields


Authors: Kie H. Ham and Gary L. Mullen
Journal: Math. Comp. 67 (1998), 337-341
MSC (1991): Primary 11T06
DOI: https://doi.org/10.1090/S0025-5718-98-00904-1
MathSciNet review: 1434940
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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.


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Additional Information

Kie H. Ham
Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
Email: csh102@psu.edu

Gary L. Mullen
Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
Email: mullen@math.psu.edu

DOI: https://doi.org/10.1090/S0025-5718-98-00904-1
Received by editor(s): May 20, 1996
Received by editor(s) in revised form: October 7, 1996
Article copyright: © Copyright 1998 American Mathematical Society