A note on a paper of Oppenheim and Šalát concerning series of Cantor type

Jaroslav Hančl

Acta Mathematica et Informatica Universitatis Ostraviensis (2002)

  • Volume: 10, Issue: 1, page 35-41
  • ISSN: 1804-1388

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Hančl, Jaroslav. "A note on a paper of Oppenheim and Šalát concerning series of Cantor type." Acta Mathematica et Informatica Universitatis Ostraviensis 10.1 (2002): 35-41. <http://eudml.org/doc/23862>.

@article{Hančl2002,
author = {Hančl, Jaroslav},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {irrationality of series of the Cantor type},
language = {eng},
number = {1},
pages = {35-41},
publisher = {University of Ostrava},
title = {A note on a paper of Oppenheim and Šalát concerning series of Cantor type},
url = {http://eudml.org/doc/23862},
volume = {10},
year = {2002},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - A note on a paper of Oppenheim and Šalát concerning series of Cantor type
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2002
PB - University of Ostrava
VL - 10
IS - 1
SP - 35
EP - 41
LA - eng
KW - irrationality of series of the Cantor type
UR - http://eudml.org/doc/23862
ER -

References

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  1. Bundschuh P., Pethö A., 10.1007/BF01547953, Monatsh. Math. 104, (1987), 199-223. (1987) MR0918473DOI10.1007/BF01547953
  2. Duverney D., Sur les séries de nombres rationnels á convergence rapide, C. R. acad. Sci. sér. I, Math. 328, no. 7, (1999), 553-556. (1999) Zbl0940.11027MR1680014
  3. Erdös P., Straus E.G., On the irrationality of certain Ahmes series, J. Indian. Math. Soc. 27, (1968), 129-133. (1968) MR0175848
  4. Hančl J., Kiss P., On reciprocal sums of teгms of linear recurrences, Math. Slovaca 43, no. 1, (1993), 31-37. (1993) MR1216266
  5. Hančl J., Rational and irrational series consisting of special denominators, Acta Mat. Inf. Univ. Ostr. (to appear). MR1879639
  6. Oppenheim A., 10.2307/2306389, Amer. Math. Monthly 61, (1954), 235-241. (1954) Zbl0055.04503MR0061140DOI10.2307/2306389
  7. Šalát T., Some notes to criteria of the irrationality of real numbers, Acta F. R. N. Univ, Comeп. VII., no. 12, Mathem., (1963), 649-662 (Czech). (1963) MR0173657

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