Some theorems on metric uniform distribution using \(L^ 2\) methods

DOI10.1016/0022-314X(90)90101-VzbMath0704.11020MaRDI QIDQ916700

Elsie Sterbin Gottlieb

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensiondiscrepancymaximal functionsmetric uniform distribution

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (4)

On pair correlations and Hausdorff dimension ⋮ Pair correlations of sequences in higher dimensions ⋮ Pair correlations of the leVeque sequence on the polydisc ⋮ On asymptotic distribution on the \({\mathbf a}\)-adic integers

Cites Work

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• Existence of almost everywhere convergent rearrangements for Fourier series of \(L_ 2\) functions
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• The distribution modulo 1 of trigonometric sequences
• A Combinatorial Lemma and Its Application to Probability Theory
• On the Set of Points of Convergence of a Lacunary Trigonometric Series and the Equidistribution Properties of Related Sequences
• Metric Number Theory and the Large Sieve
• Khinchin's conjecture and Marstrand's theorem
• The analytic principle of the large sieve
• The large sieve
• Limit theorems for lacunary series and uniform distribution mod 1

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