On uniform distribution of sequences ( a n x ) 1

Tibor Šalát

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 2, page 331-340
  • ISSN: 0011-4642

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Šalát, Tibor. "On uniform distribution of sequences $(a_n x)_1^\infty $." Czechoslovak Mathematical Journal 50.2 (2000): 331-340. <http://eudml.org/doc/30564>.

@article{Šalát2000,
author = {Šalát, Tibor},
journal = {Czechoslovak Mathematical Journal},
keywords = {uniform distribution; Baire category; Lebesgue measure; dyadic number of set; continued fraction; uniform distribution; Baire category; Lebesgue measure; dyadic number of set; continued fraction},
language = {eng},
number = {2},
pages = {331-340},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On uniform distribution of sequences $(a_n x)_1^\infty $},
url = {http://eudml.org/doc/30564},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Šalát, Tibor
TI - On uniform distribution of sequences $(a_n x)_1^\infty $
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 2
SP - 331
EP - 340
LA - eng
KW - uniform distribution; Baire category; Lebesgue measure; dyadic number of set; continued fraction; uniform distribution; Baire category; Lebesgue measure; dyadic number of set; continued fraction
UR - http://eudml.org/doc/30564
ER -

References

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  1. 10.1016/0022-314X(75)90010-4, J. Number Theory 7 (1975), 91–104. (1975) Zbl0293.10017MR0357342DOI10.1016/0022-314X(75)90010-4
  2. 10.1307/mmj/1028998917, Michigan Math. J. 10 (1963), 311–314. (1963) MR0153656DOI10.1307/mmj/1028998917
  3. Continued Fractions, Gos. Izd. Mat. Lit., Moscow, 1961. (russian) (1961) 
  4. Uniform Distribution of Sequences, John Wiley, New York-London-Sydney-Toronto, 1974. (1974) MR0419394
  5. Additive Zahlentheorie I., Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956. (1956) Zbl0072.03101MR0098721
  6. 10.1016/S1385-7258(64)50052-9, Indag. Math. XVI (1964), 477–487. (1964) MR0170877DOI10.1016/S1385-7258(64)50052-9
  7. Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien, Czechoslovak Math. J. 14 (89) (1964), 254–266. (1964) MR0168527
  8. Real Functions I. (Polish), PWN, Warszawa, 1958. (1958) MR0091312
  9. 10.2307/2320930, Amer. Math. Monthly 89 (1982), 114–115. (1982) MR0643278DOI10.2307/2320930
  10. 10.4064/sm-7-1-143-149, Studia Math. 7 (1938), 143–159. (1938) Zbl0019.22501DOI10.4064/sm-7-1-143-149

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