Martingale differences and the metric theory of continued fractions

zbMath1236.11068arXiv0906.5428MaRDI QIDQ1022571

Alan K. Haynes, Jeffrey D. Vaaler

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/0906.5428

Mathematics Subject Classification ID

Martingales and classical analysis (60G46) Metric theory of continued fractions (11K50) Farey sequences; the sequences (1^k, 2^k, dots) (11B57)

Cites Work

• Diophantine approximation
• On the metric theory of diophantine approximation
• Probability theory. Translated from the German by Robert B. Burckel
• On the distribution of the convergents of almost all real numbers
• Farey fractions and sums over coprime pairs
• Martingale Theory and Pointwise Convergence of Certain Orthogonal Series
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