Metric discrepancy results for geometric progressions with large ratios

DOI10.1007/S00605-015-0791-YzbMath1345.11059OpenAlexW2169677910MaRDI QIDQ303847

Mai Yamashita, Katusi Fukuyama

Publication date: 22 August 2016

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

Full work available at URL: https://doi.org/10.1007/s00605-015-0791-y

zbMATH Keywords

law of the iterated logarithmdiscrepancylacunary sequence

Mathematics Subject Classification ID

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

Related Items (7)

Metric discrepancy results for subsequences of geometric progressions ⋮ Metric discrepancy results for geometric progressions with small ratios ⋮ On the Uniform Theory of Lacunary Series ⋮ Metric discrepancy results for geometric progressions with large ratios. II ⋮ Metric discrepancy results for geometric progressions perturbed by irrational rotations ⋮ A metric discrepancy result with given speed ⋮ The law of the iterated logarithm for the discrepancy of perturbed geometric progressions

Cites Work

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• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
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• Metric discrepancy results for alternating geometric progressions
• A metric discrepancy result for the sequence of powers of minus two
• On the law of the iterated logarithm for the discrepancy of lacunary sequences
• The discrepancy of random sequences {kx}
• Limit theorems for lacunary series and uniform distribution mod 1
• An asymptotic property of a gap sequence

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