THE PRIMES ARE NOT METRIC POISSONIAN

DOI10.1112/S002557931700050XzbMath1429.11136arXiv1702.07365MaRDI QIDQ4604498

Aled Walker

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07365

zbMATH Keywords

pair correlationuniform distributiondistribution of prime numbers

Mathematics Subject Classification ID

Distribution of primes (11N05) Irregularities of distribution, discrepancy (11K38)

Related Items (14)

ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY ⋮ Remarks about inhomogeneous pair correlations ⋮ On exceptional sets in the metric Poissonian pair correlations problem ⋮ On the correlations of \(n^\alpha \bmod 1\) ⋮ The metric theory of the pair correlation function of real-valued lacunary sequences ⋮ Poissonian correlation of higher order differences ⋮ A METRIC THEORY OF MINIMAL GAPS ⋮ Poissonian pair correlation in higher dimensions ⋮ On a multi-dimensional Poissonian pair correlation concept and uniform distribution ⋮ Poissonian pair correlation and discrepancy ⋮ Pair correlation and equidistribution on manifolds ⋮ Pair correlation of sequences with maximal additive energy ⋮ GCD sums and sum-product estimates ⋮ THERE IS NO KHINTCHINE THRESHOLD FOR METRIC PAIR CORRELATIONS

Cites Work

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• 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 correlations and equidistribution
• On pair correlation and discrepancy
• On exceptional sets in the metric Poissonian pair correlations problem
• Pair correlation for fractional parts of αn²
• Metric Diophantine approximation with two restricted variables I. Two square-free integers, or integers in arithmetic progressions
• Metric Number Theory and the Large Sieve
• A metric result on the pair correlation of fractional parts of sequences
• ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY
• Localized quantitative criteria for equidistribution
• The distribution of spacings between the fractional parts of \(n^2\alpha\)

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