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.

Location: http://mech.math.msu.su/~fpm/eng/k10/k106/k10616h.htm

Last modified: July 5, 2011