On reciprocal sums of terms of linear recurrences

Jaroslav Hančl; Péter Kiss

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 1, page 31-37
  • ISSN: 0139-9918

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Hančl, Jaroslav, and Kiss, Péter. "On reciprocal sums of terms of linear recurrences." Mathematica Slovaca 43.1 (1993): 31-37. <http://eudml.org/doc/34352>.

@article{Hančl1993,
author = {Hančl, Jaroslav, Kiss, Péter},
journal = {Mathematica Slovaca},
keywords = {reciprocal sums; linear recurrences; irrationality},
language = {eng},
number = {1},
pages = {31-37},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On reciprocal sums of terms of linear recurrences},
url = {http://eudml.org/doc/34352},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Hančl, Jaroslav
AU - Kiss, Péter
TI - On reciprocal sums of terms of linear recurrences
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 1
SP - 31
EP - 37
LA - eng
KW - reciprocal sums; linear recurrences; irrationality
UR - http://eudml.org/doc/34352
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. BADEA C., The irrationality of certain infinite series, Glasgow Math. J. 29 (1987), 221-228. (1987) Zbl0629.10027MR0901668
  3. BUNDSCHUH P., PETHÖ A., Zur Transzendenz gewisser Reihen, Monatsh. Math. 104 (1987), 199-223. (1987) Zbl0601.10025MR0918473
  4. ERDÖS P., GRAHAM R. L., Old and new problems and results in combinatorial number theory, In: Monograph. Enseign. Math. 38, Enseignement Math., Geneva, 1980, pp. 60-66. (1980) Zbl0434.10001MR0592420
  5. GOOD I. J., A reciprocal series of Fibonacci numbers, Fibonacci Quart. 12 (1974), 346. (1974) Zbl0292.10009MR0351977
  6. HOGGATT V. E., BICKNELL M. J., A reciprocal series of Fibonacci numbers with subscripts of 2nk, Fibonacci Quart 14 (1976), 453-455. (1976) MR0412087
  7. OPPENHEIM A., Criteria for irrationality of certain classes of numbers, Amer. Math. Monthly 61 (1954), 235-241. (1954) Zbl0055.04503MR0061140

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