Metric discrepancy results for geometric progressions with small ratios

DOI10.1007/S10474-018-0805-ZzbMath1413.11090arXiv1711.02839OpenAlexW2964252761WikidataQ130095872 ScholiaQ130095872MaRDI QIDQ1669671

Peng Zhang

Publication date: 3 September 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02839

zbMATH Keywords

discrepancyuniform distributiongeometric progression

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 (5)

Metric discrepancy results for subsequences of geometric progressions ⋮ Metric discrepancy results for geometric progressions with small ratios ⋮ Metric discrepancy results for geometric progressions with large ratios. II ⋮ Metric discrepancy results for geometric progressions perturbed by irrational rotations ⋮ The law of the iterated logarithm for the discrepancy of perturbed geometric progressions

Cites Work

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

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