Geodesic
A certain mean value theorem in the number theory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 51-54

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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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     title = {A certain mean value theorem in the number theory},
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V. N. Chubarikov. A certain mean value theorem in the number theory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 51-54. http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a10/