On the relations between the zeros of a polynomial and its Mahler measure
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Publication:2663303
DOI10.1016/j.jnt.2021.01.016zbMath1467.11094arXiv2103.07126OpenAlexW3130220683MaRDI QIDQ2663303
Georges Rhin, Myriam Ounaïes, Jean-Marc Sac-Épée
Publication date: 16 April 2021
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.07126
Polynomials in number theory (11C08) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)
Cites Work
- On algebraic numbers of small height: Linear forms in one logarithm
- Inequalities on the Mahler measure of a polynomial
- Finding new small degree polynomials with small Mahler measure by genetic algorithms
- Factorization of certain cyclotomic functions
- On algebraic numbers of small measure
- Positive line bundles on arithmetic surfaces
- Lehmer's problem for polynomials with odd coefficients
- Algebraic Numbers Close to Both 0 and 1
- The Mahler measure of algebraic numbers: a survey
- On a question of Lehmer and the number of irreducible factors of a polynomial
- On Some Inequalities for Polynomials in Several Variables
- Reciprocal Polynomials Having Small Measure
- Polynomials with small Mahler measure
- Perturbing polynomials with all their roots on the unit circle
- Littlewood-Type Problems on [0,1]
- New Methods Providing High Degree Polynomials with Small Mahler Measure
- Reciprocal polynomials having small measure. II
- On the product of the conjugates outside the unit circle of an algebraic number
- Minimal Mahler Measures
- On the height of algebraic numbers with real conjugates
- 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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