New Methods Providing High Degree Polynomials with Small Mahler Measure

DOI10.1080/10586458.2003.10504513zbMath1075.11065OpenAlexW2059259332MaRDI QIDQ4651437

Jean-Marc Sac-Épée, Georges Rhin

Publication date: 21 February 2005

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

Full work available at URL: https://projecteuclid.org/euclid.em/1087568021

zbMATH Keywords

polynomialsMahler measurerandom drawings

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Polynomials (irreducibility, etc.) (11R09) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items (3)

On the relations between the zeros of a polynomial and its Mahler measure ⋮ Lehmer's problem and splitting of rational primes in number fields ⋮ Integer transfinite diameter and polynomials with small Mahler measure

Cites Work

• Speculations Concerning the Range of Mahler's Measure
• Polynomials with small Mahler measure
• Reciprocal polynomials having small measure. II
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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