Email this article Fractional parts of the function x/n
- Authors: Shubin A.V.1
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Affiliations:
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 100, No 5-6 (2016)
- Pages: 731-742
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149855
- DOI: https://doi.org/10.1134/S0001434616110109
- ID: 149855
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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.
About the authors
A. V. Shubin
Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: andshub@mail.ru
Russian Federation, Dolgoprudnyi, Moscow Oblast
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