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http://dx.doi.org/10.4134/BKMS.b150363

ON THE IRREDUCIBILITY OF SUM OF TWO RECIPROCAL POLYNOMIALS  

Bang, Minsang (Department of Mathematics Chonnam National University)
Kwon, DoYong (Department of Mathematics Chonnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.3, 2016 , pp. 833-842 More about this Journal
Abstract
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;
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