A metric result on the pair correlation of fractional parts of sequences
From MaRDI portal
Publication:4260435
DOI10.4064/aa-89-3-283-293zbMath0961.11028OpenAlexW928278849MaRDI QIDQ4260435
Alexandru Zaharescu, Ze'ev Rudnick
Publication date: 9 September 1999
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/207271
sequencesexponential sumsFourier analysisfractional partslacunary sequencespair correlationsshort intervals
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Small fractional parts of polynomials and generalizations (11J54)
Related Items (25)
Distinct gaps between fractional parts of sequences ⋮ ADDITIVE ENERGY AND THE METRIC POISSONIAN PROPERTY ⋮ On pair correlation and discrepancy ⋮ On exceptional sets in the metric Poissonian pair correlations problem ⋮ Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems ⋮ The distribution of spacings of real‐valued lacunary sequences modulo one ⋮ On higher dimensional Poissonian pair correlation ⋮ The champernowne constant is not Poissonian ⋮ Intermediate-scale statistics for real-valued lacunary sequences ⋮ THE PRIMES ARE NOT METRIC POISSONIAN ⋮ Gap statistics and higher correlations for geometric progressions modulo one ⋮ The metric theory of the pair correlation function of real-valued lacunary sequences ⋮ On Quasi-Energy-Spectra, Pair Correlations of Sequences and Additive Combinatorics ⋮ A pair correlation problem, and counting lattice points with the zeta function ⋮ Pair correlation of fractional parts derived from rational valued sequences. II ⋮ A METRIC THEORY OF MINIMAL GAPS ⋮ Pair correlation of fractional parts derived from rational valued sequences ⋮ Poissonian pair correlation in higher dimensions ⋮ On a multi-dimensional Poissonian pair correlation concept and uniform distribution ⋮ Poissonian pair correlation and discrepancy ⋮ Some negative results related to Poissonian pair correlation problems ⋮ On the pair correlations of powers of real numbers ⋮ Pair correlation of sequences with maximal additive energy ⋮ Low discrepancy sequences failing Poissonian pair correlations ⋮ Equidistribution results for sequences of polynomials
This page was built for publication: A metric result on the pair correlation of fractional parts of sequences