A metric discrepancy result for the Hardy-Littlewood-Pólya sequences
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Publication:967593
DOI10.1007/S00605-008-0051-5zbMath1197.11091OpenAlexW2081309234MaRDI QIDQ967593
Katusi Fukuyama, Keisuke Nakata
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/s00605-008-0051-5
Maximal functions, Littlewood-Paley theory (42B25) Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38)
Related Items (10)
A metric discrepancy result for lacunary sequences ⋮ Metric discrepancy results for alternating geometric progressions ⋮ 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 ⋮ A metric discrepancy result for a lacunary sequence with small gaps ⋮ A metric discrepancy result for the sequence of powers of minus two ⋮ A law of the iterated logarithm for discrepancies: non-constant limsup ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On permutations of Hardy-Littlewood-Pólya sequences
Cites Work
- The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
- A functional law of the iterated logarithm for empirical distribution functions of weakly dependent random variables
- An asymptotic property of gap series. II
- Almost sure invariance principles for the empirical process of lacunary sequences
- Empirical processes in probabilistic number theory: the LIL for the discrepancy of \((n_{k}\omega)\bmod 1\)
- Le théorème limite central pour les suites de R. C. Baker
- Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations
- Empirical Distribution Functions and Strong Approximation Theorems for Dependent Random Variables. A Problem of Baker in Probabilistic Number Theory
- Mixing sequences of random variables and probablistic number theory
- Limit theorems for lacunary series and uniform distribution mod 1
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