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1. Estimates of the averaged sums of fractional parts.

Author

Sevast'yanov, E. and Yakupov, I.

Subjects
*ARITHMETIC, *ESTIMATION theory, *ADDITION (Mathematics), *IRRATIONAL numbers, *INVERSE problems
Abstract

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

Published
2016
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