On the total variation of the sequence of fractional parts of the quotients of a positive real number by the consecutive natural numbers

zbMath1426.11099arXiv1606.03378MaRDI QIDQ2011955

Michel Balazard

Publication date: 27 July 2017

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03378

zbMATH Keywords

total variationfractional partarithmetic functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski, 2 ⋮ On the variation of certain fractional part sequences ⋮ On general sums involving the floor function with applications to \(k\)-free numbers

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