| Title:
|
A note to the transcendence of special infinite series (English) |
| Author:
|
Hančl, Jaroslav |
| Author:
|
Rucki, Pavel |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
409-414 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11J82 |
| idZBL:
|
Zbl 1141.11039 |
| idMR:
|
MR2267762 |
| . |
| Date available:
|
2009-09-25T14:33:36Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128866 |
| . |
| Reference:
|
[1] ADHIKARI S. D.-SARADHA N.-SHOREY T. N.-TIJDEMAN R.: Transcendental infinite sums.Indag. Math. (N.S.) 12 (2001), 1-14. Zbl 1032.11030, MR 1908135 |
| Reference:
|
[2] DAVENPORT H.-ROTH K. F.: Rational approximations to algebraic numbers.Mathematika 2 (1955), 160-167. Zbl 0066.29302, MR 0077577 |
| Reference:
|
[3] DUVERNEY D.: Transcendence of a fast converging series of rational numbers.Math. Proc. Cambridge Philos. Soc. 130 (2001), 193-207. Zbl 0999.11037, MR 1806772 |
| Reference:
|
[4] HANČL J.: Transcendental sequences.Math. Slovaca 46 (1996), 177-179. Zbl 0888.11029, MR 1427003 |
| Reference:
|
[5] HANČL J.: Two criteria for transcendental sequences.Matematiche (Catania) 56 (2002), 129-140. Zbl 1173.11338, MR 1997731 |
| Reference:
|
[6] HANČL J.: Liouville sequences.Nagoya Math. J. 172 (2003), 173-187. Zbl 1056.11043, MR 2019524 |
| Reference:
|
[7] NISHIOKA K.: Mahler Functions and Transcendence.Lecture Notes in Math. 1631, Springer, New York, 1996. Zbl 0876.11034, MR 1439966 |
| Reference:
|
[8] NYBLOM M. A.: A theorem on transcendence of infinite series.Rocky Mountain J. Math. 30 (2000), 1111-1120. Zbl 1012.11063, MR 1797832 |
| Reference:
|
[9]
: Encyclopaedia of Mathematical Sciences, Vol. 44- Number Theory IV.(A. N. Parshin, I. R. Shafarevich, eds.), Springer-Verlag, Berlin-Heidelberg, 1998. MR 1603604 |
| . |
