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Irregularities of distribution. VI. (English) Zbl 0226.10034


MSC:

11K38 Irregularities of distribution, discrepancy
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References:

[1] T. Van Aardenne-Ehrenfest [1] Proof of the impossibility of a just distribution , etc. Indag. Math. 7 (1945), 71-76. · Zbl 0060.13002
[2] T. Van Aardenne-Ehrenfest [2] On the impossibility of a just distribution . Ibid. 11 (1949), 264-269. · Zbl 0035.32002
[3] J.G. Van Der Corput [3] Verteilungsfunktionen . I. Proc. Kon. Ned. Akad. v. Wetensch. 38 (1935), 813-821.
[4] P. Erdös [4] Some unsolved problems . Publ. Math. Inst. Hung. Acad. Sci. 6 (1961), 221-254. · Zbl 0100.02001
[5] P. Erdös [5] Problems and results on diophantine approximations . Compositio Math. 16 (1964), 52-56. (Nijenrode lecture 1962). · Zbl 0131.04803
[6] E. Hecke [6] Über analytische Funktionen und die Verteilung von Zahlen mod Eins . Abh. Math. Sem. Hamburg 1 (1922), 54-76. · JFM 48.0197.03
[7] H. Kesten [7] On a conjecture of Erdos and Szüsz related to uniform distribution mod 1 . Acta Arith. 12 (1966/67), 193-212. · Zbl 0144.28902
[8] A. Ostrowski [8 ] Math. Miszellen. IX. Notiz zur Theorie der Diophantischen Approximationen. Jber . Deutsch. Math. Ver. 36 (1927), 178-180. · JFM 53.0165.02
[9] K.F. Roth [9] On Irregularities of Distribution . Mathematika 7 (1954), 73-79. · Zbl 0057.28604
[10] W.M. Schmidt [10] Irregularities of Distribution . Quarterly J. of Math. (Oxford) 19 (1968), 181-191. · Zbl 0155.37703
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