A certain mean value theorem in the number theory

A mean-value theorem for the sum of a “saw-tooth” function of a polynomial is proved. The estimate is exact relative to the main parameter which is the length of the interval of summation.

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Bibliographic Details
Published in:Moscow University mathematics bulletin 2015-09, Vol.70 (5), p.230-233
Main Author: Chubarikov, V. N.
Format: Article
Language:English
Subjects:
Analysis
Brief Communications
Mathematics
Mathematics and Statistics
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Description
Summary:A mean-value theorem for the sum of a “saw-tooth” function of a polynomial is proved. The estimate is exact relative to the main parameter which is the length of the interval of summation.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132215050095