Sequences of algebraic integers and density modulo 1
Journal de théorie des nombres de Bordeaux, Volume 19 (2007) no. 3, pp. 755-762.

We prove density modulo 1 of the sets of the form

{μ m λ n ξ+r m :n,m},

where λ,μ is a pair of rationally independent algebraic integers of degree d2, satisfying some additional assumptions, ξ0, and r m is any sequence of real numbers.

Nous établissons la densité modulo 1 des ensembles de la forme

{μ m λ n ξ+r m :n,m},

λ,μ sont deux entiers algébriques de degré d2, qui sont rationnellement indépendants et satisfont des hypothèses techniques supplémentaires, ξ0, et r m une suite quelconque de nombres réels.

DOI: 10.5802/jtnb.610
Keywords: Density modulo $1,$ algebraic integers, topological dynamics, ID-semigroups
Urban, Roman 1

1 Institute of Mathematics Wroclaw University Plac Grunwaldzki 2/4 50-384 Wroclaw, Poland
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Urban, Roman. Sequences of algebraic integers and density modulo $1$. Journal de théorie des nombres de Bordeaux, Volume 19 (2007) no. 3, pp. 755-762. doi : 10.5802/jtnb.610. http://archive.numdam.org/articles/10.5802/jtnb.610/

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