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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
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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