On the discrepancy of the sequence formed by the multiples of an irrational number

DOI10.1016/0022-314X(81)90002-0zbMath0458.10035MaRDI QIDQ1151427

Lyle Ramshaw

Publication date: 1981

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

zbMATH Keywords

asymptotic propertiesMACSYMAcontinued fraction methodsbehavior on critical arcsdiscrepancy of finite sequencemanipulations of rational functionssymbolic manipulation packagethree distance theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) General theory of distribution modulo (1) (11K06)

Related Items (7)

Self-similar measures and sequences ⋮ Discrépance en dimension un ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Suites dont la discrépance est comparable à un logarithme. (Sequences whose discrepancy is like a logarithm) ⋮ Symbolic representation of piecewise linear functions on the unit interval and application to discrepancy ⋮ The discrepancy of \((n\alpha)_{n\geq 1}\) ⋮ On the discrepancy of (n\(\alpha\) ). II

Uses Software

• MACSYMA

Cites Work

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• Good lattic points, discrepancy, and numerical integration
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• On successive settings of an arc on the circumference of a circle
• The discrepancy of random sequences {kx}
• On a sequence of points of interest for numerical quadrature
• Sur la repartition modulo 1 de la suite nα

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