### 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.

Original language | English (US) |
---|---|

Pages (from-to) | 337-341 |

Number of pages | 5 |

Journal | Mathematics of Computation |

Volume | 67 |

Issue number | 221 |

DOIs | |

State | Published - Jan 1998 |

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### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics

### Cite this

*Mathematics of Computation*,

*67*(221), 337-341. https://doi.org/10.1090/S0025-5718-98-00904-1

}

*Mathematics of Computation*, vol. 67, no. 221, pp. 337-341. https://doi.org/10.1090/S0025-5718-98-00904-1

**Distribution of irreducible polynomials of small degrees over finite fields.** / Ham, Kie H.; Mullen, Gary L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Distribution of irreducible polynomials of small degrees over finite fields

AU - Ham, Kie H.

AU - Mullen, Gary L.

PY - 1998/1

Y1 - 1998/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032329918&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032329918&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-98-00904-1

DO - 10.1090/S0025-5718-98-00904-1

M3 - Article

AN - SCOPUS:0032329918

VL - 67

SP - 337

EP - 341

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

IS - 221

ER -