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arXiv · 2107.07092

The metric theory of the pair correlation function for small non-integer powers

Zeév Rudnick·Niclas Technau
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Abstract

For $0<\theta<1$, we show that for almost all $\alpha$, the pair correlation function of the sequence of fractional parts of $\{\alpha n^\theta:n\geq 1 \}$ is Poissonian.

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Zeév Rudnick, Niclas Technau. 2021-07-15. The metric theory of the pair correlation function for small non-integer powers. https://arxiv.org/abs/2107.07092

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