Heights on groups and small multiplicative dependencies

DOI10.1090/S0002-9947-2013-06029-1zbMath1295.11117arXiv1211.5066OpenAlexW2963501628MaRDI QIDQ5420115

Jeffrey D. Vaaler

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.5066

zbMATH Keywords

multiplicative independencezonoidsdiophantine inequalities\(S\)-unitslogarithmic Weil height

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Isometric theory of Banach spaces (46B04) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

A Weil Banach algebra for multiplicative algebraic numbers ⋮ Turing meets Schanuel ⋮ A classification of $\mathbb{Q}$-valued linear functionals on $\overline{\mathbb{Q}}^{\times }$ modulo units ⋮ On multiplicatively dependent vectors of algebraic numbers ⋮ On the height of solutions to norm form equations ⋮ Minkowski's theorem on independent conjugate units ⋮ Heights, regulators and Schinzel’s determinant inequality ⋮ Multiplicative approximation by the Weil height ⋮ Effective results for linear equations in members of two recurrence sequences

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