Geodesic
On uniform distribution of sequences $(a_n x)_1^\infty$
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 331-340 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 11B57, 11K06, 11K55
Keywords: uniform distribution; Baire category; Lebesgue measure; dyadic number of set; continued fraction 
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Šalát, Tibor. On uniform distribution of sequences $(a_n x)_1^\infty$. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 2, pp. 331-340. http://geodesic.mathdoc.fr/item/CMJ_2000_50_2_a7/

[1] D. Carlson: Good sequences of integers. J. Number Theory 7 (1975), 91–104. | DOI | MR | Zbl

[2] H. Davenport, P. Erdös, W. J. Le Veque: On Weyl’s criterion for uniform distribution. Michigan Math. J. 10 (1963), 311–314. | DOI | MR

[3] A. Khintchine: Continued Fractions. Gos. Izd. Mat. Lit., Moscow, 1961. (russian)

[4] L. Kuipers, H. Niederreiter: Uniform Distribution of Sequences. John Wiley, New York-London-Sydney-Toronto, 1974. | MR

[5] H. H. Ostmann: Additive Zahlentheorie I. Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956. | MR | Zbl

[6] G. M. Petersen, M. T. Mc. Gregor: On the structure of well distributed sequences (II.). Indag. Math. XVI (1964), 477–487. | DOI | MR

[7] T. Šalát: Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien. Czechoslovak Math. J. 14 (89) (1964), 254–266. | MR

[8] R. Sikorski: Real Functions I. (Polish). PWN, Warszawa, 1958. | MR

[9] A. Simmons: An “Archimedean” paradox. Amer. Math. Monthly 89 (1982), 114–115. | DOI | MR

[10] C. Visser: The law of nought-or-one. Studia Math. 7 (1938), 143–159. | DOI | Zbl