Open Access
March 2012 On Cauchy-Liouville-Mirimanoff polynomials II
Pavlos Tzermias
Funct. Approx. Comment. Math. 46(1): 15-27 (March 2012). DOI: 10.7169/facm/2012.46.1.2

Abstract

The main result of [23] on the non-existence of low-degree irreducible factors of the Cauchy-Liouville-Mirimanoff polynomials $E_p(x)$ for primes $p \equiv 2 \pmod{3}$ is extended to a similar result for $p \equiv 1 \pmod{3}$. We also give a partial result on the existence of higher-degree irreducible factors.

Citation

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Pavlos Tzermias. "On Cauchy-Liouville-Mirimanoff polynomials II." Funct. Approx. Comment. Math. 46 (1) 15 - 27, March 2012. https://doi.org/10.7169/facm/2012.46.1.2

Information

Published: March 2012
First available in Project Euclid: 30 March 2012

zbMATH: 1286.11101
MathSciNet: MR2951726
Digital Object Identifier: 10.7169/facm/2012.46.1.2

Subjects:
Primary: 11R09 , 12E30
Secondary: 11B37 , 11G30 , 33A3

Keywords: Cauchy-Liouville-Mirimanoff polynomials , factorization , Fermat curves , hypergeometric polynomials , powerful numbers , ternary recurrences

Rights: Copyright © 2012 Adam Mickiewicz University

Vol.46 • No. 1 • March 2012
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