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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015 Number 5, Pages 51–54 (Mi vmumm269)
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A certain mean value theorem in the number theory

V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

Key words: “saw-toothe” function, mean value.

UDC: 511.3

Received: 28.11.2014


 English version: Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2015, 70:5, 230–233

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