On the absolute length of polynomials having all zeros in a sector

DOI10.1016/J.JNT.2014.04.002zbMath1296.11134OpenAlexW2050841775MaRDI QIDQ740399

Valerie Flammang

Publication date: 2 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.002

zbMATH Keywords

algebraic integerexplicit auxiliary functioninteger transfinite diameterabsolute length

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (5)

Applications of Integer Semi-Infinite Programing to the Integer Chebyshev Problem ⋮ AN ANALOGUE OF THE SCHUR–SIEGEL–SMYTH TRACE PROBLEM ⋮ THE ABSOLUTE -MEASURE OF TOTALLY POSITIVE ALGEBRAIC INTEGERS ⋮ Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8 ⋮ On the integer transfinite diameter of intervals of the form \([\frac{r}{s}, u\) or \([0,(\sqrt{a}-\sqrt{b})^2]\) and of Farey intervals]

Cites Work

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• Small polynomials with integer coefficients
• \(f\)-transfinite diameter and number theoretic applications
• The measure of totally positive algebraic integers
• Trace of totally positive algebraic integers and integer transfinite diameter
• The trace problem for totally positive algebraic integers
• The Mean Values of Totally Real Algebraic Integers
• On the Absolute Mahler Measure of Polynomials Having All Zeros in a Sector
• On the linear independence measure of logarithms of rational numbers
• On the absolute Mahler measure of polynomials having all zeros in a sector. II
• On the absolute Mahler measure of polynomials having all zeros in a sector. III

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