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Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
- Source :
- Periodica Mathematica Hungarica. 80:95-102
- Publication Year :
- 2019
- Publisher :
- Springer Science and Business Media LLC, 2019.
-
Abstract
- Very recently Bordelles, Dai, Heyman, Pan and Shparlinski studied asymptotic behaviour of the quantity $$\begin{aligned} S_f(x) := \sum _{n\leqslant x} f\left( \left[ \frac{x}{n}\right] \right) , \end{aligned}$$and established some asymptotic formulas for $$S_f(x)$$ under three different types of assumptions on f. In this short note we improve some of their results.
Details
- ISSN :
- 15882829 and 00315303
- Volume :
- 80
- Database :
- OpenAIRE
- Journal :
- Periodica Mathematica Hungarica
- Accession number :
- edsair.doi...........1f76f8b3043c9a7600d1e8e1d46e768b