Diophantine equations and the LIL for the discrepancy of sublacunary sequences
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Publication:610622
zbMath1258.11077MaRDI QIDQ610622
Publication date: 8 December 2010
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ijm/1286212916
Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55)
Related Items (5)
Metric discrepancy results for alternating geometric progressions ⋮ 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 ⋮ Quantitative uniform distribution results for geometric progressions
Cites Work
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- Irregular discrepancy behavior of lacunary series. II
- The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
- A metric discrepancy result for the Hardy-Littlewood-Pólya sequences
- On the law of the iterated logarithm for the discrepancy of \(\langle n_kx\rangle\)
- On the almost sure central limit theorem and domains of attraction
- Empirical processes in probabilistic number theory: the LIL for the discrepancy of \((n_{k}\omega)\bmod 1\)
- On the pointwise convergence of Fourier series
- On the distribution of values of sums of the type \(\sum f(2^kt)\)
- On the law of the iterated logarithm for the discrepancy of lacunary sequences
- POINTWISE CONVERGENCE OF FOURIER SERIES
- Empirical Distribution Functions and Strong Approximation Theorems for Dependent Random Variables. A Problem of Baker in Probabilistic Number Theory
- The Size of Trigonometric and Walsh Series and Uniform Distribution Mod 1
- Limit theorems for lacunary series and uniform distribution mod 1
- On the central limit theorem for lacunary trigonometric series
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