| Title:
|
A note on a paper of Oppenheim and Šalát concerning series of Cantor type (English) |
| Author:
|
Hančl, Jaroslav |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
35-41 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11J72 |
| idZBL:
|
Zbl 1023.11037 |
| idMR:
|
MR1943021 |
| . |
| Date available:
|
2009-01-30T09:09:16Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120583 |
| . |
| Reference:
|
[1] Bundschuh P., Pethö A.: Zur transzendenz gewisser Reihen.Monatsh. Math. 104, (1987), 199-223. MR 0918473, 10.1007/BF01547953 |
| Reference:
|
[2] Duverney D.: Sur les séries de nombres rationnels á convergence rapide.C. R. acad. Sci. sér. I, Math. 328, no. 7, (1999), 553-556. Zbl 0940.11027, MR 1680014 |
| Reference:
|
[3] Erdös P., Straus E.G.: On the irrationality of certain Ahmes series.J. Indian. Math. Soc. 27, (1968), 129-133. MR 0175848 |
| Reference:
|
[4] Hančl J., Kiss P.: On reciprocal sums of teгms of linear recurrences.Math. Slovaca 43, no. 1, (1993), 31-37. MR 1216266 |
| Reference:
|
[5] Hančl J.: Rational and irrational series consisting of special denominators.Acta Mat. Inf. Univ. Ostr. (to appear). MR 1879639 |
| Reference:
|
[6] Oppenheim A.: Criteria for irrationalìty of certain classes of numbers.Amer. Math. Monthly 61, (1954), 235-241. Zbl 0055.04503, MR 0061140, 10.2307/2306389 |
| Reference:
|
[7] Šalát T.: Some notes to criteria of the irrationality of real numbers.Acta F. R. N. Univ, Comeп. VII., no. 12, Mathem., (1963), 649-662 (Czech). MR 0173657 |
| . |
