Inhomogeneous Diophantine approximations and distribution of fractional parts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 189-202.

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A new estimate of the remainder term is obtained in the problem of the distribution of fractional parts of $n\alpha$ over an arbitrary interval.
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A. V. Shutov. Inhomogeneous Diophantine approximations and distribution of fractional parts. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 6, pp. 189-202. http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a15/

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