Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-20T13:38:51.704Z Has data issue: false hasContentIssue false

The Distribution of Irreducible Polynomials in Several Indeterminates II

Published online by Cambridge University Press:  20 November 2018

L. Carlitz*
Affiliation:
Duke University, Durham, North Carolina
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is well known that the number of normalized irreducible polynomials of degree m in a single indeterminate, with coefficients in GF(q), is given by

(1.1)

where μ(r) is the Möbius function. It follows from (1) that

(12)

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1965

References

1. Carlitz, L., The distribution of irreducible polynomials in several indeterminates, III. J. Math., 7 (1963), 371–5.Google Scholar