Heights of polynomials over lemniscates

DOI10.4064/aa200109-9-11zbMath1471.11263arXiv2101.06708OpenAlexW3128984794MaRDI QIDQ4988876

Igor E. Pritsker

Publication date: 20 May 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06708

zbMATH Keywords

Mahler measureheightsalgebraic integerslemniscateinteger transfinite diameterinteger polynomialsinteger Chebyshev problem

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) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Polynomials and rational functions of one complex variable (30C10)

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