Fractional parts of the function x/n


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Asymptotic formulas for sums of values of some class of smooth functions of fractional parts of numbers of the form x/n, where the parameter x increases unboundedly and the integer n ranges over various subsets of the interval [1, x], are obtained.

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A. Shubin

Moscow Institute of Physics and Technology (State University)

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俄罗斯联邦, Dolgoprudnyi, Moscow Oblast

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