On reciprocal sums of terms of linear recurrences
Mathematica slovaca, Tome 43 (1993) no. 1, pp. 31-37
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Classification : 11B37, 11J72
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Hančl, Jaroslav; Kiss, Peter. On reciprocal sums of terms of linear recurrences. Mathematica slovaca, Tome 43 (1993) no. 1, pp. 31-37. http://geodesic.mathdoc.fr/item/MASLO_1993_43_1_a3/

[1] ANDRE-JEANIN R.: A note of the irrationality of certain Lucas infinite series. Fibonacci Quart. 29 (1991), 132-136. | MR

[2] BADEA C.: The irrationality of certain infinite series. Glasgow Math. J. 29 (1987), 221-228. | MR | Zbl

[3] BUNDSCHUH P., PETHÖ A.: Zur Transzendenz gewisser Reihen. Monatsh. Math. 104 (1987), 199-223. | MR | Zbl

[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. | MR | Zbl

[5] GOOD I. J.: A reciprocal series of Fibonacci numbers. Fibonacci Quart. 12 (1974), 346. | MR | Zbl

[6] HOGGATT V. E., BICKNELL M. J.: A reciprocal series of Fibonacci numbers with subscripts of 2nk. Fibonacci Quart 14 (1976), 453-455. | MR

[7] OPPENHEIM A.: Criteria for irrationality of certain classes of numbers. Amer. Math. Monthly 61 (1954), 235-241. | MR | Zbl