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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 339–353 (Mi znsl1323)  
This article is cited in 11 scientific papers (total in 11 papers)

Davenport's theorem in the theory of irregularities of point distribution

W. W. L. Chena, M. M. Skriganovb

a Macquarie University
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (216 kB) Citations (11)
Abstract: We study distributions ${\mathscr D}_N$ of $N$ points in the unit square $U^2$ with a minimal order of the $L_2$-discrepancy ${\mathscr L}_2[{\mathscr D}_N]<C(\log N)^{1/2}$, where the constant $C$ is independent of $N$. We introduce an approach using Walsh functions that admits generalization to higher dimensions
Received: 15.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2076–2084
DOI: https://doi.org/10.1023/A:1022668317029
Bibliographic databases:
UDC: 511.9
Language: English
Citation: W. W. L. Chen, M. M. Skriganov, “Davenport's theorem in the theory of irregularities of point distribution”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 339–353; J. Math. Sci. (N. Y.), 115:1 (2003), 2076–2084
Citation in format AMSBIB
\Bibitem{CheSkr00}
\by W.~W.~L.~Chen, M.~M.~Skriganov
\paper Davenport's theorem in the theory of irregularities of point distribution
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 339--353
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1323}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805869}
\zmath{https://zbmath.org/?q=an:1085.11037}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2076--2084
\crossref{https://doi.org/10.1023/A:1022668317029}
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  • https://www.mathnet.ru/eng/znsl/v269/p339
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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