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arXiv · 1709.03550

On infinite multiplicative Sidon sets

Péter Pál Pach·Csaba Sándor
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Abstract

We prove that if $A$ is an infinite multiplicative Sidon set, then $\liminf\limits_{n\to \infty}\frac{|A(n)|-\pi (n)}{\frac{n^{3/4}}{(\log n)^3}}<\infty$ and construct an infinite multiplicative Sidon set satisfying $\liminf\limits_{n\to \infty}\frac{|A(n)|-\pi (n)}{\frac{n^{3/4}}{(\log n)^3}}>0$.

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Péter Pál Pach, Csaba Sándor. 2017-09-11. On infinite multiplicative Sidon sets. https://arxiv.org/abs/1709.03550

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