Discrepancy in arithmetic progressions

Jiří Matoušek, Joel Spencer

Research output: Contribution to journalArticle

Abstract

It is proven that there is a two-coloring of the first n integers for which all arithmetic progressions have discrepancy less than const.n1/4. This shows that a 1964 result of K. F. Roth is, up to constants, best possible.

Original languageEnglish (US)
Pages (from-to)195-204
Number of pages10
JournalJournal of the American Mathematical Society
Volume9
Issue number1
StatePublished - Jan 1996

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Best Constants
Arithmetic sequence
Coloring
Colouring
Discrepancy
Integer

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Discrepancy in arithmetic progressions. / Matoušek, Jiří; Spencer, Joel.

In: Journal of the American Mathematical Society, Vol. 9, No. 1, 01.1996, p. 195-204.

Research output: Contribution to journalArticle

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