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This article is cited in 2 scientific papers (total in 2 papers)
Fractional Parts of the Function $x/n$
A. V. Shubin Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Abstract:
Asymptotic formulas for sums of values of some class of smooth functions of fractional parts of numbers of the form $x/n$, where the parameter $x$ increases unboundedly and the integer $n$ ranges over various subsets of the interval $[1,x]$, are obtained.
Keywords:
fractional parts, asymptotic behavior, divisor problem, method of trigonometric sums.
Received: 19.02.2016
Citation:
A. V. Shubin, “Fractional Parts of the Function $x/n$”, Mat. Zametki, 100:5 (2016), 744–756; Math. Notes, 100:5 (2016), 731–742
Linking options:
https://www.mathnet.ru/eng/mzm11134https://doi.org/10.4213/mzm11134 https://www.mathnet.ru/eng/mzm/v100/i5/p744
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Abstract page: | 444 | Full-text PDF : | 87 | References: | 51 | First page: | 43 |
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