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Diophantine approximation with mild divisibility constraints

✍ Scribed by Emre Alkan; Glyn Harman; Alexandru Zaharescu

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
136 KB
Volume
118
Category
Article
ISSN
0022-314X

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✦ Synopsis

Given an irrational number Ξ± and a sequence B of coprime positive integers with the sum of inverses convergent, we investigate the problem of finding small values of nΞ± (mod 1), with n B-free.

πŸ“œ SIMILAR VOLUMES

Correlation of fractions with divisibili
Correlation of fractions with divisibility constraints
✍ Maosheng Xiong; Alexandru Zaharescu πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 202 KB

## Abstract Let \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ B=(B\_{Q}\!)\_{{Q \in {\mathbb N}}} $\end{document} be an increasing sequence of positive square free integers satisfying the condition that $ B\_{{Q\_1}}\vert B\_{{Q\_2}} $ whenever __Q__~1~ < __Q__~2~. F