AN ANALOGUE OF THE SCHUR–SIEGEL–SMYTH TRACE PROBLEM

DOI10.1017/s0004972722000703zbMath1527.11082OpenAlexW4293593227MaRDI QIDQ6176137

Valerie Flammang

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000703

zbMATH Keywords

tracetotally positive algebraic integerstaircase function

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) Totally real fields (11R80)

Cites Work

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• 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
• Totally positive algebraic integers with small trace
• On the Absolute Trace of Polynomials Having All Zeros in a Sector
• On the absolute Mahler measure of polynomials having all zeros in a sector. III

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