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arXiv · 2008.08858

On a class of random sets of positive integers

Yong Han·Yanqi Qiu·Zipeng Wang
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Abstract

In this note, we study a class of random subsets of positive integers induced by Bernoulli random variables. We obtain sufficient conditions such that the random set is almost surely lacunary, does not have bounded gaps and contains infinitely many arithmetic progressions, respectively.

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Yong Han, Yanqi Qiu, Zipeng Wang. 2020-08-20. On a class of random sets of positive integers. https://arxiv.org/abs/2008.08858

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