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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 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

Abstract: In the paper we prove unimproval in order of magnitude estimates for the remainder term in asymptotic formula for the sum $\sum_{n\le x} \{ne\}$.

UDC: 519.21

MSC: Primary 11K31; Secondary 11K38

Received: 18.05.2010



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