A note on sequences not having metric Poissonian pair correlations
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DOI: 10.1007/s00013-021-01578-0
Abstract: The purpose of this note is to present a construction of sequences which do not have metric Poissonian pair correlations (MPPC) and whose additive energies grow at rates that come arbitrarily close to a threshold… read more here.
Keywords: sequences metric; metric poissonian; pair correlations; poissonian pair ... See more keywords
THE PRIMES ARE NOT METRIC POISSONIAN
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DOI: 10.1112/s002557931700050x
Abstract: It has been known since Vinogradov that, for irrational $\alpha$, the sequence of fractional parts $\{\alpha p\}$ is equidistributed in $\mathbb{R}/\mathbb{Z}$ as $p$ ranges over primes. There is a natural second-order equidistribution property, a pair… read more here.
Keywords: metric poissonian; primes metric;