Estimates of the averaged sums of fractional parts


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We establish asymptotically sharp estimates for the sums of the inverses (and more general sums) of the fractional parts {} of irrational numbers θ, depending on the arithmetical characteristics of the numbers θ.

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E. Sevast’yanov

National Research Nuclear University “MIFI,”

编辑信件的主要联系方式.
Email: sevastianov.e.a@mail.ru
俄罗斯联邦, Moscow

I. Yakupov

National Research Nuclear University “MIFI,”

Email: sevastianov.e.a@mail.ru
俄罗斯联邦, Moscow

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