Simultaneous Diophantine approximation and VIP systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 116, pages 13-23 (issn: 0065-1036, eissn: 1730-6264,

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Authors: Bergelson, Vitaly; Håland Knutson, Inger J.; McCutcheon, Randall;

doi: 10.4064/aa116-1-2

Simultaneous Diophantine approximation and VIP systems

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Abstract

Summary: A subset \(E\) of \(\mathbb Z\) is said to be \(\text{IP}^*\) if for any sequence \((x_n)\) in~\(\mathbb Z\) one has \(n_1

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Keywords

Diophantine inequalities, Distribution modulo one

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