Diophantine approximation generalized

In this paper we study the set of x ∈ [0, 1] for which the inequality | x − x n | < z n holds for infinitely many n = 1, 2, ... Here x n ∈ [0, 1) and z n s> 0, z n → 0, are sequences. In the first part of the paper we summarize known results. In the second part, using the theory of distributio...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2012-04, Vol.276 (1), p.193-207
Hauptverfasser:	Mišík, Ladislav, Strauch, Oto
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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