FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 6, PAGES 189-202

Inhomogeneous Diophantine approximations and distribution of fractional parts

A. V. Shutov

Abstract

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A new estimate of the remainder term is obtained in the problem of the distribution of fractional parts of n a over an arbitrary interval.

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