| Title:
|
A note to the rationality of infinite series. I (English) |
| Author:
|
Hančl, Jaroslav |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
5 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
5-11 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11J72 |
| idZBL:
|
Zbl 0927.11043 |
| idMR:
|
MR1828546 |
| . |
| Date available:
|
2009-01-30T09:04:09Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120509 |
| . |
| 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] Bundschuh P., Pethö A.: Zur Transzendenz gewisser Reihen.Monatsh. Math. 104, 1987, 199-223. MR 0918473, 10.1007/BF01547953 |
| Reference:
|
[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. MR 0592420 |
| Reference:
|
[4] Erdös P., Straus E. G.: Some Number Theoretic Results.Pacific Journal Math., 26, no.3, 1971, 635-646. MR 0281698 |
| Reference:
|
[5] Erdös P., Straus E. G.: On the Irrationality of Certain Series.Pacific Journal Math. 55, 1974, 85-92. MR 0366823, 10.2140/pjm.1974.55.85 |
| Reference:
|
[6] Galambos J.: Representations of Real Numbers by Infinite Series.Lecture Notes in Mathematics 502, 1976, Springer-Verlag. Zbl 0322.10002, MR 0568141 |
| Reference:
|
[7] Hančl J., Kiss P.: On Reciprocal Sums of Terms of Linear Recurrences.Math. Slovaca 43, no.1, 1993, 31-37. MR 1216266 |
| Reference:
|
[8] Iseki K.: On the Irrationality of the Sum of Some Infinite Series.Mathematics Seminar Notes. 7, 1979, 183-187. Zbl 0417.10026, MR 0544931 |
| Reference:
|
[9] Oppenheim A.: Criteria for Irrationality of Certain Classes of Numbers.Amer. Math. Monthly 61, no.4, 1954, 235-241. Zbl 0055.04503, MR 0061140, 10.2307/2306389 |
| . |
