MAHLER MEASURE of 'ALMOST' RECIPROCAL POLYNOMIALS

J. C. Saunders

doi:10.1017/S0004972718000217

MAHLER MEASURE of 'ALMOST' RECIPROCAL POLYNOMIALS

J. C. Saunders

Research output: Contribution to journal › Article › peer-review

Abstract

We give a lower bound of the Mahler measure on a set of polynomials that are 'almost' reciprocal. Here 'almost' reciprocal means that the outermost coefficients of each polynomial mirror each other in proportion, while this pattern may break down for the innermost coefficients.

Original language	English
Pages (from-to)	70-76
Number of pages	7
Journal	Bulletin of the Australian Mathematical Society
Volume	98
Issue number	1
DOIs	https://doi.org/10.1017/S0004972718000217
State	Published - 1 Aug 2018
Externally published	Yes

Keywords

Lehmer's conjecture
Mahler measure
number theory
polynomials

ASJC Scopus subject areas

General Mathematics

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10.1017/S0004972718000217

Cite this

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title = "MAHLER MEASURE of 'ALMOST' RECIPROCAL POLYNOMIALS",

abstract = "We give a lower bound of the Mahler measure on a set of polynomials that are 'almost' reciprocal. Here 'almost' reciprocal means that the outermost coefficients of each polynomial mirror each other in proportion, while this pattern may break down for the innermost coefficients.",

keywords = "Lehmer's conjecture, Mahler measure, number theory, polynomials",

author = "Saunders, \{J. C.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Australian Mathematical Publishing Association Inc.",

year = "2018",

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AB - We give a lower bound of the Mahler measure on a set of polynomials that are 'almost' reciprocal. Here 'almost' reciprocal means that the outermost coefficients of each polynomial mirror each other in proportion, while this pattern may break down for the innermost coefficients.

KW - Lehmer's conjecture

KW - Mahler measure

KW - number theory

KW - polynomials

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DO - 10.1017/S0004972718000217

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MAHLER MEASURE of 'ALMOST' RECIPROCAL POLYNOMIALS

Abstract

Keywords

ASJC Scopus subject areas

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