On the discrepancy of convex plane sets

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Let D2(N) be the discrepancy function of the class of convex sets in the unit square [0, 1)2 as defined in the introduction. A well known result of W. M. Schmidt states that D2f(N)>const N1/3. In this paper it is shown that Schmidt's bound is nearly best possible, more precisely, {Mathematical expression}

Original languageEnglish (US)
Pages (from-to)91-106
Number of pages16
JournalMonatshefte für Mathematik
Issue number2
StatePublished - Jun 1988
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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