## Distribution of irreducible polynomials of small degrees over finite fields

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- by Kie H. Ham and Gary L. Mullen PDF
- Math. Comp.
**67**(1998), 337-341 Request permission

## 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.## References

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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
- Received by editor(s): May 20, 1996
- Received by editor(s) in revised form: October 7, 1996
- © Copyright 1998 American Mathematical Society
- 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