Geodesic
On the $L\sp 2$ discrepancy of distances of points from a finite sequence
Mathematica slovaca, Tome 40 (1990) no. 3, pp. 245-259
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Classification : 11K06, 65D30 
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Strauch, Oto. On the $L\sp 2$ discrepancy of distances of points from a finite sequence. Mathematica slovaca, Tome 40 (1990) no. 3, pp. 245-259. http://geodesic.mathdoc.fr/item/MASLO_1990_40_3_a2/

[1] VINOGRADOV I. M.: On fractional parts of integer polynomials. (Russian.) Izv. AN SSSR, 20, 1926, 585-600.

[2] VAN DER CORPUT J. G. PISOT C.: Sur la discrépance modulo un. Indag. Math., 1, 1939, pp. 143-152, 184-195, 260-269.

[3] KUIPERS L., NIEDERREITER H.: Uniform Distribution of Sequences. J. Wiley, New York 1974. | Zbl

[4] STRAUCH O.: Some applications of Franel-Kluyver's integral, II. Math. Slovaca, 39, 1989, No. 2, 127-140. | Zbl

[5] NIEDERREITER H.: Application of diophantine approximations to numerical integration. Diophantine Approximation and its Applications, ed. C. F. Osgood. Academic Press, New York 1973, pp. 129-199. | Zbl

[6] LeVEQUE W. J.: An inequality connected with Weyľs criterion for uniform distribution. Proc. Symp. Pure Math., Vol. VIII., American Math. Society, Providence 1965, p. 22-30. | MR