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A Fourier-analytic approach to inhomogeneous Diophantine approximation

Accepted version
Peer-reviewed

Repository URI

https://www.repository.cam.ac.uk/handle/1810/301594

Repository DOI

https://doi.org/10.17863/CAM.48663
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Accepted version (356.32 KB)

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Article

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Abstract

We study inhomogeneous Diophantine approximation with rational numbers of reduced form. The central object is the set W ( f , θ ) = { x ∈ [ 0 , 1 ] :∣∣∣x -m + θ ( n )n∣∣∣

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Keywords

4901 Applied Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

Acta Arithmetica

Conference Name

Journal ISSN

0065-1036
1730-6264

Volume Title

190

Publisher

Institute of Mathematics, Polish Academy of Sciences

Publisher DOI

https://doi.org/10.4064/aa180627-25-9

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