Hausdorff dimension of set of real numbers characterized by digit properties in a Cantor expansion

Helmut Wegmann

Czechoslovak Mathematical Journal (1968)

  • Volume: 18, Issue: 4, page 622-632
  • ISSN: 0011-4642

How to cite

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Wegmann, Helmut. "Die Hausdorffsche Dimension von Mengen reeller Zahlen, die durch Zifferneigenschaften einer Cantorentwicklung charakterisiert sind." Czechoslovak Mathematical Journal 18.4 (1968): 622-632. <http://eudml.org/doc/12439>.

@article{Wegmann1968,
author = {Wegmann, Helmut},
journal = {Czechoslovak Mathematical Journal},
keywords = {number theory},
language = {ger},
number = {4},
pages = {622-632},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Die Hausdorffsche Dimension von Mengen reeller Zahlen, die durch Zifferneigenschaften einer Cantorentwicklung charakterisiert sind},
url = {http://eudml.org/doc/12439},
volume = {18},
year = {1968},
}

TY - JOUR
AU - Wegmann, Helmut
TI - Die Hausdorffsche Dimension von Mengen reeller Zahlen, die durch Zifferneigenschaften einer Cantorentwicklung charakterisiert sind
JO - Czechoslovak Mathematical Journal
PY - 1968
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 18
IS - 4
SP - 622
EP - 632
LA - ger
KW - number theory
UR - http://eudml.org/doc/12439
ER -

References

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  1. P. Billingsley, 10.1215/ijm/1255455863, Ill. Journ. Math. 4 (1960), 187-209. (1960) Zbl0098.10602MR0131903DOI10.1215/ijm/1255455863
  2. P. Billingsley, 10.1215/ijm/1255629826, Ill. Journ. Math. 5 (1960), 291-298. (1960) MR0120339DOI10.1215/ijm/1255629826
  3. O. Perron, Irrationalzahlen, Berlin-Leipzig, 1921. (1921) 
  4. T. Šalát, Cantorsche Entwicklungen der reellen Zahlen und das Hausdorffsche Maß, Publ. of the Math. Inst. of the Hung. Acad. of Sci. VI, (1961), 15-41. (1961) MR0147465
  5. T. Šalát, Über die Hausdorffsche Dimension der Menge der Zahlen mit beschränkten Folgen von Ziffern in Cantorschen Entwicklungen, Czechosl. Math. Journ. 15 (90), (1965), 540-553. (1965) MR0188187
  6. H. Wegmann, 10.1007/BF00535640, Zeitschrift für Wahrscheinlichkeitstheorie u. verw. Geb. 9 (1968), 222-231. (1968) MR0228057DOI10.1007/BF00535640

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