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Matematicheskie Zametki, 2016, Volume 100, Issue 5, Pages 744–756
DOI: https://doi.org/10.4213/mzm11134 (Mi mzm11134) 		 
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
Full-text PDF (480 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11134
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
English version:
Mathematical Notes, 2016, Volume 100, Issue 5, Pages 731–742
DOI: https://doi.org/10.1134/S0001434616110109
Bibliographic databases:
Document Type: Article
UDC: 511.335
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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