Irreducible polynomials with all but one zero close to the unit disk

DoYong Kwon

Colloquium Mathematicae (2016)

  • Volume: 143, Issue: 2, page 265-270
  • ISSN: 0010-1354

Abstract

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We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.

How to cite

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DoYong Kwon. "Irreducible polynomials with all but one zero close to the unit disk." Colloquium Mathematicae 143.2 (2016): 265-270. <http://eudml.org/doc/284083>.

@article{DoYongKwon2016,
abstract = {We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.},
author = {DoYong Kwon},
journal = {Colloquium Mathematicae},
keywords = {Mahler measure; irreducible polynomial},
language = {eng},
number = {2},
pages = {265-270},
title = {Irreducible polynomials with all but one zero close to the unit disk},
url = {http://eudml.org/doc/284083},
volume = {143},
year = {2016},
}

TY - JOUR
AU - DoYong Kwon
TI - Irreducible polynomials with all but one zero close to the unit disk
JO - Colloquium Mathematicae
PY - 2016
VL - 143
IS - 2
SP - 265
EP - 270
AB - We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
LA - eng
KW - Mahler measure; irreducible polynomial
UR - http://eudml.org/doc/284083
ER -

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