Algebraic numbers, hyperbolicity, and density modulo one

DOI10.1016/j.jnt.2012.05.018zbMath1287.11088arXiv1109.0183OpenAlexW2962808611MaRDI QIDQ452385

Alexander Gorodnik, Shirali Kadyrov

Publication date: 21 September 2012

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

Full work available at URL: https://arxiv.org/abs/1109.0183

zbMATH Keywords

compact abelian groupdensity modulo onehigher-rank abelian actionmultiplicatively independent numbers

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Distribution modulo one (11J71)

Related Items (2)

A polynomial-exponential variation of Furstenberg’s theorem ⋮ Generalizations of Furstenberg’s Diophantine result

Cites Work

• Dense (mod 1) dilated semigroups of algebraic numbers
• Algebraic numbers and density modulo 1
• Multi-Invariant Sets on Compact Abelian Groups
• On density modulo 1 of some expressions containing algebraic integers
• A generalization of Furstenberg’s Diophantine Theorem
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