Finding New Limit Points of Mahler's Measure by Genetic Algorithms

DOI10.1080/10586458.2017.1357511zbMath1454.11196OpenAlexW2761164992MaRDI QIDQ5382924

Georges Rhin, S. El Otmani, Jean-Marc Sac-Épée

Publication date: 19 June 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10586458.2017.1357511

zbMATH Keywords

Mahler measureinteger polynomialsLehmer's problem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Analytic computations (11Y35)

Related Items

Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials

Uses Software

• Optimization Toolbox

Cites Work

• A problem of Boyd concerning geometric means of polynomials
• Finding new small degree polynomials with small Mahler measure by genetic algorithms
• Factorization of certain cyclotomic functions
• The Mahler measure of algebraic numbers: a survey
• Small Limit Points of Mahler's Measure
• Speculations Concerning the Range of Mahler's Measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer