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ON THE IRREDUCIBILITY OF SUM OF TWO RECIPROCAL POLYNOMIALS

  • Bang, Minsang ;
  • Kwon, DoYong
  • Received : 2015.05.13
  • Published : 2016.05.31

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

References

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Acknowledgement

Supported by : National Research Foundation of Korea (NRF)