Mahler measure of a difference of two conjugates

DOI10.1007/S10986-019-09424-1zbMath1426.11122OpenAlexW2916076470MaRDI QIDQ2313197

Arturas Dubickas

Publication date: 18 July 2019

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-019-09424-1

zbMATH Keywords

Mahler measurealgebraic numberBogomolov property

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• A result of Schinzel
• Factorization of certain cyclotomic functions
• On the integer form of the additive Hilbert's theorem 90
• Polynomial relations between polynomial roots
• On the average difference between two conjugates of an algebraic number
• A lower bound for the height in abelian extensions
• Additive Hilbert's theorem 90 in the ring of algebraic integers
• Lower bounds for the height in Galois extensions
• On numbers which are differences of two conjugates of an algebraic integer
• The Mahler measure of algebraic numbers: a survey
• Mahler measure on Galois extensions
• Sur un théorème de M. Langevin
• Addendum to the paper "On the product of the conjugates outside the unit circle of an algebraic number"
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