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A p-adic Poissonian Pair Correlation Concept

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arxiv 2308.15446 v1 pith:TCM2WE42 submitted 2023-08-29 math.NT

classification math.NT
keywords p-adicpairtheoryconceptcorrelationpoissonianattentionattracted
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The pair correlation statistic is an important concept in real uniform distribution theory. Therefore, sequences in the unit interval with (weak) Poissonian pair correlations have attracted a lot of attention in recent time. The aim of this paper is to suggest a generalization to the p-adic integers and to prove some of its main properties. In particular, connections to the theory of p-adic discrepancy theory are discussed.

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