On a problem of K. F. Roth concerning irregularities of point distribution

DOI10.1007/BF01394247zbMath0528.10037OpenAlexW1975635227MaRDI QIDQ786852

József Beck

Publication date: 1983

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143083

zbMATH Keywords

discrepancydisc-segmentirregularities of point distribution

Mathematics Subject Classification ID

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

Related Items (10)

A `large deviation' phenomenon in discrete geometry. I ⋮ Quasi‐random 2‐ colorings of point sets ⋮ Irregularities of distribution. I ⋮ Principles of a new method in the study of irregularities of distribution ⋮ Irregularities of continuous distributions ⋮ Lower bounds on the approximation of the multivariate empirical process ⋮ Irregularities of distribution for bounded sets and half‐spaces ⋮ A Functional From Geometry with Applications to Discrepancy Estimates and the Radon Transform ⋮ Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry ⋮ Irregularities of point distribution relative to half‐planes I

Cites Work

• Lectures on irregularities of distribution. (Notes by T. N. Shorey)
• Irregularities of distribution. IV
• Some upper bounds in the theory of irregularities of distribution
• Remark concerning integer sequences

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