Etude des restes pour les suites de van der Corput generalisees

DOI10.1016/0022-314X(83)90065-3zbMath0513.10047MaRDI QIDQ1050401

Henri Faure

Publication date: 1983

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

uniform distributionirregularities of distributiongeneralized van der Corput sequencesremainder function

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (12)

Regularities of the distribution of \(\beta\)-adic van der Corput sequences ⋮ Self-similar measures and sequences ⋮ On functions with bounded remainder ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ On the distribution of the van der Corput sequences ⋮ Van der Corput sequences, Kakutani transforms and one-dimensional numerical integration ⋮ Fractal theoretic aspects of local field ⋮ Suites dont la discrépance est comparable à un logarithme. (Sequences whose discrepancy is like a logarithm) ⋮ A uniformly distributed sequence on the ring of p-adic integers ⋮ Precise distribution properties of the van der Corput sequence and related sequences ⋮ Lemme de Bohl pour les suites de Van der Corput généralisées. (Bohl lemma for the generalized Van der Corput sequences) ⋮ Symbolic representation of piecewise linear functions on the unit interval and application to discrepancy

Cites Work

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• Regularities in the distribution of special sequences
• A sequence has almost nowhere small discrepancy
• Prime flows in topological dynamics
• Discrépance de suites associées à un système de numération (en dimension s)
• Discrépances de suites associées à un système de numération (en dimension un)
• Intervalles a restes majorés pour la suite
• Intervalles à restes majorés pour la suite $\{n\alpha\}$. II
• Irregularities of Distribution. VIII
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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