Diophantine approximation with mild divisibility constraints

Emre Alkan; Glyn Harman; Alexandru Zaharescu

doi:10.1016/j.jnt.2005.08.001

Diophantine approximation with mild divisibility constraints

Emre Alkan, Glyn Harman, Alexandru Zaharescu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English (US)
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of Number Theory
Volume	118
Issue number	1
DOIs	https://doi.org/10.1016/j.jnt.2005.08.001
State	Published - May 2006

Keywords

B-free numbers
Diophantine approximation

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1016/j.jnt.2005.08.001

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title = "Diophantine approximation with mild divisibility constraints",

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

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author = "Emre Alkan and Glyn Harman and Alexandru Zaharescu",

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AU - Harman, Glyn

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JF - Journal of Number Theory

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Diophantine approximation with mild divisibility constraints

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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