A note to the rationality of infinite series. I

Jaroslav Hančl

Acta Mathematica et Informatica Universitatis Ostraviensis (1997)

  • Volume: 05, Issue: 1, page 5-11
  • ISSN: 1804-1388

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Hančl, Jaroslav. "A note to the rationality of infinite series. I." Acta Mathematica et Informatica Universitatis Ostraviensis 05.1 (1997): 5-11. <http://eudml.org/doc/23788>.

@article{Hančl1997,
author = {Hančl, Jaroslav},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {irrationality; infinite series},
language = {eng},
number = {1},
pages = {5-11},
publisher = {University of Ostrava},
title = {A note to the rationality of infinite series. I},
url = {http://eudml.org/doc/23788},
volume = {05},
year = {1997},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - A note to the rationality of infinite series. I
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1997
PB - University of Ostrava
VL - 05
IS - 1
SP - 5
EP - 11
LA - eng
KW - irrationality; infinite series
UR - http://eudml.org/doc/23788
ER -

References

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  1. Andre-Jeanin R, A Note of the Irrationality of Certain Lucas Infinite Series, Fibonacci Quart. 29, 1991, 132-136. (1991) MR1119398
  2. Bundschuh P., Pethö A., 10.1007/BF01547953, Monatsh. Math. 104, 1987, 199-223. (1987) MR0918473DOI10.1007/BF01547953
  3. Erdös P., Graham R. L., Old and New Problems and Results in Combinatorial Number Theory, In: Monograph. Enseign. Math 38, Enseignement Math. Geneva, 1980, 60-66. (1980) MR0592420
  4. Erdös P., Straus E. G., Some Number Theoretic Results, Pacific Journal Math., 26, no.3, 1971, 635-646. (1971) MR0281698
  5. Erdös P., Straus E. G., 10.2140/pjm.1974.55.85, Pacific Journal Math. 55, 1974, 85-92. (1974) MR0366823DOI10.2140/pjm.1974.55.85
  6. Galambos J., Representations of Real Numbers by Infinite Series, Lecture Notes in Mathematics 502, 1976, Springer-Verlag. (1976) Zbl0322.10002MR0568141
  7. Hančl J., Kiss P., On Reciprocal Sums of Terms of Linear Recurrences, Math. Slovaca 43, no.1, 1993, 31-37. (1993) MR1216266
  8. Iseki K., On the Irrationality of the Sum of Some Infinite Series, Mathematics Seminar Notes. 7, 1979, 183-187. (1979) Zbl0417.10026MR0544931
  9. Oppenheim A., 10.2307/2306389, Amer. Math. Monthly 61, no.4, 1954, 235-241. (1954) Zbl0055.04503MR0061140DOI10.2307/2306389

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