A metric property of the Cantor expansions of real numbers and criteria for irrationality

Tibor Šalát

Czechoslovak Mathematical Journal (1964)

  • Volume: 14, Issue: 2, page 254-266
  • ISSN: 0011-4642

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Šalát, Tibor. "Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien." Czechoslovak Mathematical Journal 14.2 (1964): 254-266. <http://eudml.org/doc/12217>.

@article{Šalát1964,
author = {Šalát, Tibor},
journal = {Czechoslovak Mathematical Journal},
keywords = {Cantor expansions of real numbers; irrationality criteria},
language = {ger},
number = {2},
pages = {254-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien},
url = {http://eudml.org/doc/12217},
volume = {14},
year = {1964},
}

TY - JOUR
AU - Šalát, Tibor
TI - Eine metrische Eigenschaft der Cantorschen Entwicklungen der reellen Zahlen und Irrationalitätskriterien
JO - Czechoslovak Mathematical Journal
PY - 1964
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 14
IS - 2
SP - 254
EP - 266
LA - ger
KW - Cantor expansions of real numbers; irrationality criteria
UR - http://eudml.org/doc/12217
ER -

References

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  1. I. Niven, Irrational numbers, Carus Monographs, 11, 1956. (1956) Zbl0070.27101MR0080123
  2. A. Oppenheim, 10.1080/00029890.1954.11988450, Amer. Math. Monthly, 61 (1954), 235-241. (1954) Zbl0055.04503MR0061140DOI10.1080/00029890.1954.11988450
  3. P. H. Diananda A. Oppenheim, 10.1080/00029890.1955.11988618, Amer. Math. Monthly, 62 (1955), 222-225. (1955) MR0068591DOI10.1080/00029890.1955.11988618
  4. K. Knopp, 10.1007/BF01206618, Math. Ann. 95 (1926), 409 - 426. (1926) MR1512285DOI10.1007/BF01206618
  5. A. Rényi, A számjegyek eloszlása valós számok Cantor-féle elöállításaiban, Mat. lap., VII, 1-2 (1956), 77-100. (1956) MR0099968
  6. P. Turán, ,,Faktoriálisos" számrendszerbeli,,számjegyek" eloszlásáról, Mat. lap., VII, 1 - 2 (1956), 71-76. (1956) MR0099967
  7. G. Pólya G. Szegö, Aufgaben und Lehrsätze aus der Analysis I, (russische Übersetzung). Moskau, 1956. (1956) 

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