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arXiv · 1608.04111

Ergodic recurrence and bounded gaps between primes

Hao Pan
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Abstract

Let $(X,B_X,\mu,T)$ be a measure-preserving probability system with $T$ is invertible. Suppose that $A\in B_X$ with $\mu(A)>0$ and $\epsilon>0$. For any $m\geq 1$, there exist infinitely many primes $p_0,p_1,\ldots,p_m$ with $p_0<\cdots 0$ is a constant only depending on $m$, $A$ and $\epsilon$.

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Hao Pan. 2016-08-14. Ergodic recurrence and bounded gaps between primes. https://arxiv.org/abs/1608.04111

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