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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2015 Volume 16, Issue 3, Pages 450–459 (Mi cheb428)

This article is cited in 5 papers

Elementary of the complete rational arithmetical sums

V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In the paper the estimate of the complete rational arithmetical sum from a polynomial is found. It's is a correct on the power of a denominator with the estimate of the constant depending of the degree of a polynomial.
Bibliography: 10 titles.

Keywords: the Gauss theorem of a multiplication for the Euler gamma-function, complete rational arithmetical sums, a functional equation on a complete system of residues by modulo of natural number, the Bernulli polynomials.

UDC: 511.9

Received: 25.08.2015



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