Distribution of irreducible polynomials of small degrees over finite fields

Kie H. Ham; Gary L. Mullen

doi:10.1090/S0025-5718-98-00904-1

Distribution of irreducible polynomials of small degrees over finite fields

Kie H. Ham
, Gary L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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	https://doi.org/10.1090/S0025-5718-98-00904-1
State	Published - Jan 1998

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

Access to Document

10.1090/S0025-5718-98-00904-1

Cite this

@article{ad29df7b678f4f9da42b925e83919e8e,

title = "Distribution of irreducible polynomials of small degrees over finite fields",

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.",

author = "Ham, \{Kie H.\} and Mullen, \{Gary L.\}",

year = "1998",

month = jan,

doi = "10.1090/S0025-5718-98-00904-1",

language = "English (US)",

volume = "67",

pages = "337--341",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "221",

}

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 - https://www.scopus.com/pages/publications/0032329918

UR - https://www.scopus.com/pages/publications/0032329918#tab=citedBy

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

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

M3 - Article

AN - SCOPUS:0032329918

SN - 0025-5718

VL - 67

SP - 337

EP - 341

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 221

ER -

Distribution of irreducible polynomials of small degrees over finite fields

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this