Algebraic numbers, hyperbolicity, and density modulo one

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dc.contributor.authorGorodnik A.
dc.contributor.authorKadyrov S.
dc.date.accessioned2025-08-04T05:39:34Z
dc.date.available2025-08-04T05:39:34Z
dc.date.issued2012
dc.description.abstractWe prove the density of the sets of the form λm 1 μn 1ξ1 +···+ λm k μn k ξk: m,n ∈ N modulo one, where λi and μi are multiplicatively independent algebraic numbers satisfying some additional assumptions. The proof is based on analysing dynamics of higher-rank actions on compact abelian groups.
dc.identifier.citationGorodnik A , Kadyrov S / Algebraic numbers, hyperbolicity, and density modulo one / Journal of Number Theory / 2012
dc.identifier.issn2499-2509
dc.identifier.urihttps://repository.sdu.edu.kz/handle/123456789/1846
dc.language.isoen
dc.publisherJournal of Number Theory
dc.subjectDensity modulo one
dc.subjectMultiplicatively independent numbers
dc.subjectHigher-rank abelian action
dc.titleAlgebraic numbers, hyperbolicity, and density modulo one
dc.typeArticle

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