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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The distribution of absolutely irreducible polynomials in several indeterminates


Author: M. L. Fredman
Journal: Proc. Amer. Math. Soc. 31 (1972), 387-390
DOI: https://doi.org/10.1090/S0002-9939-1972-0286779-3
MathSciNet review: 0286779
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Abstract | References | Additional Information

Abstract: Asymptotic formulas are derived for the distribution of absolutely irreducible polynomials in two indeterminates over finite fields. A pair of inversion formulas is presented which yield exact formulas relating the distributions of irreducible and absolutely irreducible polynomials.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0286779-3
Keywords: Irreducible polynomial, absolutely irreducible, several indeterminates, finite fields, inversion formulas, distributions
Article copyright: © Copyright 1972 American Mathematical Society