Irregularities of two-colourings of the NxN square lattice

DOI10.1007/BF02579309zbMath0501.10052OpenAlexW2013174919MaRDI QIDQ1172093

József Beck

Publication date: 1982

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02579309

zbMATH Keywords

discrepancyintegral equation methodsquare latticeirregularities of two-colouringsquantitative formtilted rectangles

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Generalized Ramsey theory (05C55) Irregularities of distribution, discrepancy (11K38)

Cites Work

• Lectures on irregularities of distribution. (Notes by T. N. Shorey)
• ``Integer-making theorems
• Balanced two-colorings of finite sets in the square. I
• Roth's estimate of the discrepancy of integer sequences is nearly sharp
• Irregularities of distribution. IV
• Remark concerning integer sequences
• Irregularities of Distribution. II
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

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