| Title:
|
On reciprocal sums of terms of linear recurrences (English) |
| Author:
|
Hančl, Jaroslav |
| Author:
|
Kiss, Peter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
31-37 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B37 |
| MSC:
|
11J72 |
| idZBL:
|
Zbl 0776.11032 |
| idMR:
|
MR1216266 |
| . |
| Date available:
|
2009-09-25T10:45:22Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136572 |
| . |
| Reference:
|
[1] ANDRE-JEANIN R.: A note of the irrationality of certain Lucas infinite series.Fibonacci Quart. 29 (1991), 132-136. MR 1119398 |
| Reference:
|
[2] BADEA C.: The irrationality of certain infinite series.Glasgow Math. J. 29 (1987), 221-228. Zbl 0629.10027, MR 0901668 |
| Reference:
|
[3] BUNDSCHUH P., PETHÖ A.: Zur Transzendenz gewisser Reihen.Monatsh. Math. 104 (1987), 199-223. Zbl 0601.10025, MR 0918473 |
| Reference:
|
[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. Zbl 0434.10001, MR 0592420 |
| Reference:
|
[5] GOOD I. J.: A reciprocal series of Fibonacci numbers.Fibonacci Quart. 12 (1974), 346. Zbl 0292.10009, MR 0351977 |
| Reference:
|
[6] HOGGATT V. E., BICKNELL M. J.: A reciprocal series of Fibonacci numbers with subscripts of 2nk.Fibonacci Quart 14 (1976), 453-455. MR 0412087 |
| Reference:
|
[7] OPPENHEIM A.: Criteria for irrationality of certain classes of numbers.Amer. Math. Monthly 61 (1954), 235-241. Zbl 0055.04503, MR 0061140 |
| . |
