The \(N\)-measure for algebraic integers having all their conjugates in a sector

DOI10.1216/rmj.2020.50.2035zbMath1479.11183OpenAlexW4241646106MaRDI QIDQ2219115

Valerie Flammang

Publication date: 19 January 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1609815805

zbMATH Keywords

measurerecursive algorithmexplicit auxiliary functionsspecial algebraic integers

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Algebraic number theory computations (11Y40) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

The number of nonunimodular roots of a reciprocal polynomial ⋮ AN ANALOGUE OF THE SCHUR–SIEGEL–SMYTH TRACE PROBLEM ⋮ A variant \(S_2\) measure for algebraic integers all of whose conjugates Lie in a sector

Cites Work

• Unnamed Item
• \(f\)-transfinite diameter and number theoretic applications
• The Mean Values of Totally Real Algebraic Integers
• On the Measure of Totally Real Algebraic Integers. II
• 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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