RUS
ENG
Full version
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
Fulltext:
PDF file (334 kB)
References
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026