MAHLER MEASURE OF ‘ALMOST’ RECIPROCAL POLYNOMIALS

DOI10.1017/S0004972718000217zbMATH Open1422.11220arXiv1709.07906OpenAlexW2963299875MaRDI QIDQ4576819

J. C. Saunders

Publication date: 11 July 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Abstract: Here 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 breaks down for the innermost coefficients.

Full work available at URL: https://arxiv.org/abs/1709.07906

zbMATH Keywords

polynomialsLehmer's conjectureMahler measurenumber theory

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Title not available (Why is that?)
• Factorization of certain cyclotomic functions
• THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

Related Items (3)

Mahler measure of polynomial iterates ⋮ Nonreciprocal algebraic numbers of small Mahler's measure ⋮ Reciprocal polynomials having small measure. II

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