Irregular discrepancy behavior of lacunary series. II

DOI10.1007/S00605-009-0165-4zbMath1200.11057OpenAlexW4246997931MaRDI QIDQ711630

Christoph Aistleitner

Publication date: 27 October 2010

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-009-0165-4

zbMATH Keywords

law of the iterated logarithmdiscrepancylacunary series

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (13)

Metric discrepancy results for alternating geometric progressions ⋮ Strong approximation of lacunary series with random gaps ⋮ On the Uniform Theory of Lacunary Series ⋮ Diophantine equations and the LIL for the discrepancy of sublacunary sequences ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps ⋮ On the class of limits of lacunary trigonometric series ⋮ Limit distributions in metric discrepancy theory ⋮ A metric discrepancy result for a lacunary sequence with small gaps ⋮ Quantitative uniform distribution results for geometric progressions ⋮ On the law of the iterated logarithm for permuted lacunary sequences ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On the law of the iterated logarithm for the discrepancy of lacunary sequences II ⋮ Extremal discrepancy behavior of lacunary sequences

Cites Work

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• Sequences, discrepancies and applications
• On the central limit theorem for \(f(n_{k}x)\)
• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
• Irregular discrepancy behavior of lacunary series
• On the law of the iterated logarithm for the discrepancy of lacunary sequences
• Limit theorems for lacunary series and uniform distribution mod 1

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