A group-invariant version of Lehmer's conjecture on heights

DOI10.1016/j.jnt.2016.07.015zbMath1417.11131arXiv1602.01749OpenAlexW2508885713WikidataQ123245321 ScholiaQ123245321MaRDI QIDQ331110

Jan-Willem M. van Ittersum

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1602.01749

zbMATH Keywords

Lehmer's conjectureMahler measureWeil heightG-orbit height

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Heights (11G50) Algebraic numbers; rings of algebraic integers (11R04) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Factorization of certain cyclotomic functions
• Positive line bundles on arithmetic surfaces
• Algebraic Numbers Close to Both 0 and 1
• Orbits of algebraic numbers with low heights
• There Are Only Nine Finite Groups of Fractional Linear Transformations with Integer Coefficients

This page was built for publication: A group-invariant version of Lehmer's conjecture on heights