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Bull. Korean Math. Soc. 2016; 53(3): 833-842

Printed May 31, 2016

https://doi.org/10.4134/BKMS.b150363

Copyright © The Korean Mathematical Society.

On the irreducibility of sum of two reciprocal polynomials

Minsang Bang and DoYong Kwon

Chonnam National University, Chonnam National University

Abstract

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For a certain kind of reciprocal polynomials $P(x), Q(x)\in \mathbb{Z}[x]$, their sums are considered. We demonstrate that the Mahler measure of polynomials plays a role to prove the irreducibility of the sums over the field of rationals.

Keywords: irreducible polynomial, reciprocal polynomial, Mahler measure

MSC numbers: 11R09, 11R06

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