Metric discrepancy results for subsequences of geometric progressions

DOI10.1134/S1995080222010085zbMath1483.11157OpenAlexW4226024760MaRDI QIDQ2121878

Yanyan Li

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222010085

zbMATH Keywords

law of the iterated logarithmdiscrepancylacunary sequence

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Cites Work

• Metric discrepancy results for geometric progressions with large ratios
• Metric discrepancy results for subsequences of \(\{\theta^k x\}\)
• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
• The law of the iterated logarithm for the discrepancies of a permutation of \(\{n_kx\}\)
• Metric discrepancy results for geometric progressions with small ratios
• A metric discrepancy result for geometric progression with ratio 3/2
• 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
• Metric discrepancy results for Erdős-Fortet sequence
• Limit theorems for lacunary series and uniform distribution mod 1
• An asymptotic property of a gap sequence
• An Estimate Concerning the Kolmogroff Limit Distribution