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arXiv · 1601.04905

Small gaps between the Piatetski-Shapiro primes

Hongze Li·Hao Pan
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Abstract

Suppose that $1<c<9/8$. For any $m\geq 1$, there exist infinitely many $n$ such that $$ \{[n^c],\ [(n+1)^c],\ \ldots,\ [(n+k_0)^c]\} $$ contains at least $m+1$ primes, if $k_0$ is sufficiently large (only depending on $m$).

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Hongze Li, Hao Pan. 2016-03-10. Small gaps between the Piatetski-Shapiro primes. https://arxiv.org/abs/1601.04905

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