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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{FPM_2010_16_6_a15,
     author = {A. V. Shutov},
     title = {Inhomogeneous {Diophantine} approximations and distribution of fractional parts},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {189--202},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_6_a15/}
}
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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/