Sequences of algebraic integers and density modulo 1 par
نویسنده
چکیده
We prove density modulo 1 of the sets of the form {μλξ + rm : n,m ∈ N}, where λ, μ ∈ R is a pair of rationally independent algebraic integers of degree d ≥ 2, satisfying some additional assumptions, ξ 6= 0, and rm is any sequence of real numbers. Roman Urban Institute of Mathematics Wroclaw University Plac Grunwaldzki 2/4 50-384 Wroclaw, Poland E-mail : [email protected] Manuscrit reçu le 17 aout 2006. Mots clefs. Density modulo 1, algebraic integers, topological dynamics, ID-semigroups. Research supported in part by the European Commission Marie Curie Host Fellowship for the Transfer of Knowledge “Harmonic Analysis, Nonlinear Analysis and Probability” MTKDCT-2004-013389 and by the MNiSW research grant N201 012 31/1020.
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