The metric theory of the pair correlation function of real-valued lacunary sequences

DOI10.1215/00192082-8720506zbMath1464.11069arXiv2001.08820OpenAlexW3087334254MaRDI QIDQ2208485

Niclas Technau, Ze'ev Rudnick

Publication date: 3 November 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08820

zbMATH Keywords

pair correlationlacunary sequences

Mathematics Subject Classification ID

Small fractional parts of polynomials and generalizations (11J54)

Related Items (5)

The distribution of spacings of real‐valued lacunary sequences modulo one ⋮ On the correlations of \(n^\alpha \bmod 1\) ⋮ Intermediate-scale statistics for real-valued lacunary sequences ⋮ The metric theory of the pair correlation function for small non‐integer powers ⋮ A pair correlation problem, and counting lattice points with the zeta function

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
• Pair correlation of fractional parts derived from rational valued sequences
• Some negative results related to Poissonian pair correlation problems
• Low discrepancy sequences failing Poissonian pair correlations
• On exceptional sets in the metric Poissonian pair correlations problem
• The champernowne constant is not Poissonian
• A metric result on the pair correlation of fractional parts of sequences
• ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY
• THE PRIMES ARE NOT METRIC POISSONIAN
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson

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