Remarks on the pair correlation statistic of Kronecker sequences and lattice point counting

DOI10.1007/S13366-023-00691-1MaRDI QIDQ6572410

Christian Weiß

Publication date: 15 July 2024

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

zbMATH Keywords

lattice point countingBohr setsKronecker sequencespair correlation statistic

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Distribution modulo one (11J71) Special sequences (11K31)

Cites Work

• Title not available (Why is that?)
• Pair correlations of sequences in higher dimensions
• Two isoperimetric inequalities with lattice constraints
• The pair correlation function of fractional parts of polynomials
• Bohr sets and multiplicative Diophantine approximation
• Sequences with almost Poissonian pair correlations
• Counting lattice points and weak admissibility of a lattice and its dual
• On a multi-dimensional Poissonian pair correlation concept and uniform distribution
• Some negative results related to Poissonian pair correlation problems
• Pair correlations and equidistribution
• On pair correlation and discrepancy
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson

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One-dimensional quasi-uniform Kronecker sequences

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