A metrical result on the discrepancy of (nα)

DOI10.1017/S0017089500032742zbMath0915.11042MaRDI QIDQ4225492

Johannes Schoissengeier

Publication date: 6 July 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

sums of partial quotientsmetric theory of continued fractionsdiscrepancy of a sequence modulo 1

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Metric theory of continued fractions (11K50) General theory of distribution modulo (1) (11K06)

Related Items (7)

On sequences with prescribed metric discrepancy behavior ⋮ On the law of the iterated logarithm for trigonometric series with bounded gaps ⋮ Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations ⋮ Quantitative uniform distribution results for geometric progressions ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On the law of the iterated logarithm for the discrepancy of \(\langle n_kx\rangle\) ⋮ Extremal discrepancy behavior of lacunary sequences

Cites Work

• On the discrepancy of (n\(\alpha\) ). II
• Estimate of the remainder term in the limit theorem for denominators of continued fractions
• Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions

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