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

Published 15 Jul 2021 in math.NT | (2107.07092v2)

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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Authors (2)

  1. Zeév Rudnick 
  2. Niclas Technau 

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