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Inhomogeneous diophantine approximations and distribution of fractional parts

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Abstract

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

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Authors and Affiliations

  1. Vladimir State University for the Humanities, Vladimir, Russia

    A. V. Shutov

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  1. A. V. Shutov
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Correspondence to A. V. Shutov.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 6, pp. 189–202, 2010.

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Shutov, A.V. Inhomogeneous diophantine approximations and distribution of fractional parts. J Math Sci 182, 576–585 (2012). https://doi.org/10.1007/s10958-012-0762-y

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  • DOI: https://doi.org/10.1007/s10958-012-0762-y

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