DISTRIBUTION OF IRREDUCIBLE POLYNOMIALS OF SMALL DEGREES OVER FINITE-FIELDS

Authors
HAM KH MULLEN GL
Citation
Kh. Ham et Gl. Mullen, DISTRIBUTION OF IRREDUCIBLE POLYNOMIALS OF SMALL DEGREES OVER FINITE-FIELDS, Mathematics of computation, 67(221), 1998, pp. 337-341
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
67
Issue
221
Year of publication
1998
Pages
337 - 341
Database
ISI
SICI code
0025-5718(1998)67:221<337:DOIPOS>2.0.ZU;2-M
Abstract
D. Wan very recently proved an asymptotic version of a conjecture of H ansen and Mullen concerning the distribution of irreducible polynomial s over finite fields. In this note we prove that the conjecture is tru e in general by using machine calculation to verify the open cases rem aining after Wan's work.