Reciprocal polynomials having small measure. II

DOI10.1090/S0025-5718-1989-0968149-6zbMath0684.12003OpenAlexW2032977585MaRDI QIDQ4733940

David W. Boyd

Publication date: 1989

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-1989-0968149-6

zbMATH Keywords

Lehmer problemreciprocal polynomialssmall Mahler measurenumber of zeros outside the unit circle

Mathematics Subject Classification ID

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

Related Items (14)

Algebraic integers whose conjugates all lie in an ellipse ⋮ On the relations between the zeros of a polynomial and its Mahler measure ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ Beta-expansions for infinite families of Pisot and Salem numbers ⋮ New Methods Providing High Degree Polynomials with Small Mahler Measure ⋮ Lehmer’s problem for compact Abelian groups ⋮ THE MAHLER MEASURE OF TRINOMIALS OF HEIGHT 1 ⋮ Positive-entropy integrable systems and the Toda lattice, II ⋮ Mahler's measure for polynomials in several variables ⋮ Integer transfinite diameter and polynomials with small Mahler measure ⋮ On the distribution of roots of polynomials in sectors. I ⋮ Polynomials with small Mahler measure ⋮ Universal systole bounds for arithmetic locally symmetric spaces ⋮ On the spectrum of the Zhang-Zagier height

Cites Work

• Factorization of certain cyclotomic functions
• Reciprocal Polynomials Having Small Measure

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