Title:
|
Algebraically unrelated sequences (English) |
Author:
|
Hančl, Jaroslav |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
53 |
Issue:
|
1 |
Year:
|
2003 |
Pages:
|
43-49 |
. |
Category:
|
math |
. |
MSC:
|
11J85 |
idZBL:
|
Zbl 1048.11060 |
idMR:
|
MR1964202 |
. |
Date available:
|
2009-09-25T14:12:13Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136875 |
. |
Reference:
|
[1] BECKER P. G.: Algebraic independence of the values of certain series by Mahler's method.Monatsh. Math. 4 (1992), 183-198. Zbl 0764.11029, MR 1203971 |
Reference:
|
[2] BUNDSCHUH P.: Transcendental continued fractions.J. Number Theory 18 (1984), 91-98. Zbl 0531.10035, MR 0734440 |
Reference:
|
[3] BUNDSCHUH P.: A criterion for algebraic independence with some applications.Osaka J. Math. 25 (1988), 849-858. Zbl 0712.11041, MR 0983806 |
Reference:
|
[4] HANCL J.: Continued fractional algebraic independence of sequences.Publ. Math. Debrecen 46 (1995), 27-31. Zbl 0862.11045, MR 1316646 |
Reference:
|
[5] NETTLER G.: Transcendental continued fractions.J. Number Theory 13 (1981), 456-462. Zbl 0464.10023, MR 0642921 |
Reference:
|
[6] NISHIOKA K.: Mahler Functions and Transcendence.Lecture Notes in Math. 1631, Springer, New York, 1996. Zbl 0876.11034, MR 1439966 |
Reference:
|
[7] NISHIOKA K.: Algebraic independence of Mahler functions and their values.Tohoku Math. J. (2) 48 (1996), 51-70. Zbl 0852.11036, MR 1373174 |
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