A note on sequences not having metric Poissonian pair correlations

DOI10.1007/s00013-021-01578-0zbMath1470.11202arXiv2008.02343OpenAlexW3132666721MaRDI QIDQ2031463

Felipe A. Ramírez

Publication date: 9 June 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02343

zbMATH Keywords

additive energymetric number theoryPoisson pair correlations

Mathematics Subject Classification ID

Metric theory (11J83) Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60) Special sequences (11K31)

Cites Work

• Unnamed Item
• The pair correlation function of fractional parts of polynomials
• Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
• On a multi-dimensional Poissonian pair correlation concept and uniform distribution
• GCD sums and sum-product estimates
• On exceptional sets in the metric Poissonian pair correlations problem
• 7. On pair correlation of sequences
• ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY
• THERE IS NO KHINTCHINE THRESHOLD FOR METRIC PAIR CORRELATIONS

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