Email this article Estimates of the averaged sums of fractional parts
- Authors: Sevast’yanov E.A.1, Yakupov I.Y.1
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Affiliations:
- National Research Nuclear University “MIFI,”
- Issue: Vol 99, No 1-2 (2016)
- Pages: 320-329
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/149174
- DOI: https://doi.org/10.1134/S0001434616010351
- ID: 149174
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Abstract
We establish asymptotically sharp estimates for the sums of the inverses (and more general sums) of the fractional parts {iθ} of irrational numbers θ, depending on the arithmetical characteristics of the numbers θ.
About the authors
E. A. Sevast’yanov
National Research Nuclear University “MIFI,”
Author for correspondence.
Email: sevastianov.e.a@mail.ru
Russian Federation, Moscow
I. Yu. Yakupov
National Research Nuclear University “MIFI,”
Email: sevastianov.e.a@mail.ru
Russian Federation, Moscow
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