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Chebyshevskii Sbornik, 2010, Volume 11, Issue 1, Pages 263–265 (Mi cheb208)  
On the sum of the fractional parts $\sum_{n\leq x}\{ne\}$

A. V. Shutov

Vladimir State Humanitarian University
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Abstract: In the paper we prove unimproval in order of magnitude estimates for the remainder term in asymptotic formula for the sum $\sum_{n\le x} \{ne\}$.
Received: 18.05.2010
Bibliographic databases:
Document Type: Article
UDC: 519.21
MSC: Primary 11K31; Secondary 11K38
Language: Russian
Citation: A. V. Shutov, “On the sum of the fractional parts $\sum_{n\leq x}\{ne\}$”, Chebyshevskii Sb., 11:1 (2010), 263–265
Citation in format AMSBIB
\Bibitem{Shu10}
\by A.~V.~Shutov
\paper On the sum of the fractional parts $\sum_{n\leq x}\{ne\}$
\jour Chebyshevskii Sb.
\yr 2010
\vol 11
\issue 1
\pages 263--265
\mathnet{http://mi.mathnet.ru/cheb208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920026}
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  • https://www.mathnet.ru/eng/cheb/v11/i1/p263
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    Full-text PDF :106
    References:39
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