Geodesic
Davenport's theorem in the theory of irregularities of point distribution
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 339-353 
W. W. L. Chen; M. M. Skriganov. Davenport's theorem in the theory of irregularities of point distribution. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 16, Tome 269 (2000), pp. 339-353. http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a22/
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     author = {W. W. L. Chen and M. M. Skriganov},
     title = {Davenport's theorem in the theory of irregularities of point distribution},
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     pages = {339--353},
     year = {2000},
     volume = {269},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_269_a22/}
}
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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], where the constant $C$ is independent of $N$. We introduce an approach using Walsh functions that admits generalization to higher dimensions