Davenport's theorem in the theory of irregularities of point distribution (Q1405638)
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scientific article; zbMATH DE number 1971344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Davenport's theorem in the theory of irregularities of point distribution |
scientific article; zbMATH DE number 1971344 |
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Davenport's theorem in the theory of irregularities of point distribution (English)
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1 September 2003
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The authors study distributions \(\mathcal{D}_N\) of \(N\) points in the unit square \(U^2\) with minimal order of \(L_2\)-discrepancy \(\mathcal{L}_2[\mathcal{D}_N]<C(\log N)^{1/2}\), where the constant \(C\) is independent of \(N\). The approach uses Walsh functions and can be generalized to higher dimensions; see the paper by the authors [J. Reine Angew. Math. 545, 67--95 (2002; Zbl 1083.11049)].
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