The distribution of absolutely irreducible polynomials in several indeterminates
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- by M. L. Fredman PDF
- Proc. Amer. Math. Soc. 31 (1972), 387-390 Request permission
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.References
- L. Carlitz, The distribution of irreducible polynomials in several indeterminates, Illinois J. Math. 7 (1963), 371–375. MR 153665
- L. Carlitz, The distribution of irreducible polynomials in several indeterminates. II, Canadian J. Math. 17 (1965), 261–266. MR 172872, DOI 10.4153/CJM-1965-025-1
- Stephen D. Cohen, The distribution of irreducible polynomials in several indeterminates over a finite field, Proc. Edinburgh Math. Soc. (2) 16 (1968/69), 1–17. MR 231810, DOI 10.1017/S001309150001213X
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 387-390
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286779-3
- MathSciNet review: 0286779