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On Sidon sequences of Farey sequences, square roots and reciprocals

In: Mathematica Slovaca, vol. 70, no. 3
Gergö Surányi

Details:

Year, pages: 2020, 547 - 565
Keywords:
Sidon sequences, Farey sequences
About article:
In this paper, I will construct three families of Sidon sequences of certain subsets of $\mathbb{R}$, in particular I will study Farey sequences, square roots, and reciprocals. It will be shown that Sidon sequences over them have cardinality of between $c1\frac{N3/4} { log{N}}$ and $c2 N3/4$, $c3 N$, and $c4 \frac{N log{ log{N}}}{ log{N}}$.
How to cite:
ISO 690:
Surányi, G. 2020. On Sidon sequences of Farey sequences, square roots and reciprocals. In Mathematica Slovaca, vol. 70, no.3, pp. 547-565. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0370

APA:
Surányi, G. (2020). On Sidon sequences of Farey sequences, square roots and reciprocals. Mathematica Slovaca, 70(3), 547-565. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0370
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 23. 5. 2020