Pair correlation of sequences with maximal additive energy

DOI10.1017/S030500411800066XzbMath1436.11092OpenAlexW2890989596MaRDI QIDQ5216087

Wolfgang Stockinger, Gerhard Larcher

Publication date: 14 February 2020

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500411800066x

zbMATH Keywords

pair correlationsadditive energy

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06)

Related Items (5)

Remarks about inhomogeneous pair correlations ⋮ On higher dimensional Poissonian pair correlation ⋮ A pair correlation problem, and counting lattice points with the zeta function ⋮ On the number of gaps of sequences with Poissonian pair correlations ⋮ Equidistribution results for sequences of polynomials

Cites Work

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• A new proof of Szemerédi's theorem for arithmetic progressions of length four
• The pair correlation function of fractional parts of polynomials
• A statistical theorem of set addition
• Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
• Some negative results related to Poissonian pair correlation problems
• Pair correlations and equidistribution
• On pair correlation and discrepancy
• On exceptional sets in the metric Poissonian pair correlations problem
• A metric result on the pair correlation of fractional parts of sequences
• THE PRIMES ARE NOT METRIC POISSONIAN
• On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics
• Localized quantitative criteria for equidistribution
• The distribution of spacings between the fractional parts of \(n^2\alpha\)

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