Metric discrepancy results for geometric progressions with large ratios
From MaRDI portal
Publication:303847
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
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
- Unnamed Item
- On the law of the iterated logarithm for permuted lacunary sequences
- The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
- Almost sure invariance principles for the empirical process of lacunary sequences
- 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
This page was built for publication: Metric discrepancy results for geometric progressions with large ratios