Schinzel-type bounds for the Mahler measure on lemniscates

DOI10.1090/mcom/3985MaRDI QIDQ6657197

Ryan Looney, Igor E. Pritsker

Publication date: 6 January 2025

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

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Discrete potential theory (31C20) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Computational excursions in analysis and number theory
• Heights of polynomials and entropy in algebraic dynamics
• A result of Schinzel
• Factorization of certain cyclotomic functions
• The Mahler measure of algebraic numbers: a survey
• Reciprocal Polynomials Having Small Measure
• Speculations Concerning the Range of Mahler's Measure
• Zwei Sätze über Gleichungen mit ganzzahligen Coefficienten.
• Reciprocal polynomials having small measure. II
• Heights of polynomials over lemniscates
• Around the Unit Circle
• On the product of the conjugates outside the unit circle of an algebraic number
• Minimal Mahler Measures
• Many Variations of Mahler Measures
• Integer transfinite diameter and polynomials with small Mahler measure
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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