On the distribution of roots of polynomials in sectors. I

DOI10.1007/BF02465542zbMath0920.12001OpenAlexW2000131389MaRDI QIDQ1280854

Arturas Dubickas

Publication date: 9 September 1999

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465542

zbMATH Keywords

discriminantMahler's measurecomplex polynomialroots of polynomials in sectors

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)

Related Items (2)

Polynomials with a root close to an integer ⋮ The Lehmer constants of an annulus

Cites Work

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• Algebraic numbers close to 1 and variants of Mahler's measure
• On the distribution of roots of polynomials
• Sequences of analytic functions and their zeros
• Algebraic numbers near the unit circle
• Sur un théorème de M. Langevin
• Reciprocal Polynomials Having Small Measure
• On the Absolute Mahler Measure of Polynomials Having All Zeros in a Sector
• Reciprocal polynomials having small measure. II
• An effective lower bound for the height of algebraic numbers
• On the Product of the Conjugates outside the unit circle of an Algebraic Integer

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