Irregular discrepancy behavior of lacunary series

DOI10.1007/s00605-008-0067-xzbMath1197.11089OpenAlexW2159431275MaRDI QIDQ967594

Christoph Aistleitner

Publication date: 30 April 2010

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

Full work available at URL: https://doi.org/10.1007/s00605-008-0067-x

zbMATH Keywords

discrepancylacunary sequence

Mathematics Subject Classification ID

Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items

Metric discrepancy results for alternating geometric progressions ⋮ Strong approximation of lacunary series with random gaps ⋮ 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 ⋮ Quantitative uniform distribution results for geometric progressions ⋮ Irregular discrepancy behavior of lacunary series. II ⋮ 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

• Unnamed Item
• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
• On the law of the iterated logarithm for the discrepancy of lacunary sequences
• An A.S. Invariance principle for lacunary seriesf(n k x)
• The discrepancy of random sequences {kx}
• Limit theorems for lacunary series and uniform distribution mod 1
• An asymptotic property of a gap sequence
• Probability methods in some problems of analysis and number theory
• On the central limit theorem for lacunary trigonometric series