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.