Algebraically unrelated sequences

Jaroslav Hančl

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 1, page 43-49
  • ISSN: 0139-9918

How to cite

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Hančl, Jaroslav. "Algebraically unrelated sequences." Mathematica Slovaca 53.1 (2003): 43-49. <http://eudml.org/doc/34567>.

@article{Hančl2003,
author = {Hančl, Jaroslav},
journal = {Mathematica Slovaca},
keywords = {sequence; algebraic independence; infinite series},
language = {eng},
number = {1},
pages = {43-49},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Algebraically unrelated sequences},
url = {http://eudml.org/doc/34567},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - Algebraically unrelated sequences
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 1
SP - 43
EP - 49
LA - eng
KW - sequence; algebraic independence; infinite series
UR - http://eudml.org/doc/34567
ER -

References

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  1. BECKER P. G., Algebraic independence of the values of certain series by Mahler's method, Monatsh. Math. 4 (1992), 183-198. (1992) Zbl0764.11029MR1203971
  2. BUNDSCHUH P., Transcendental continued fractions, J. Number Theory 18 (1984), 91-98. (1984) Zbl0531.10035MR0734440
  3. BUNDSCHUH P., A criterion for algebraic independence with some applications, Osaka J. Math. 25 (1988), 849-858. (1988) Zbl0712.11041MR0983806
  4. HANCL J., Continued fractional algebraic independence of sequences, Publ. Math. Debrecen 46 (1995), 27-31. (1995) Zbl0862.11045MR1316646
  5. NETTLER G., Transcendental continued fractions, J. Number Theory 13 (1981), 456-462. (1981) Zbl0464.10023MR0642921
  6. NISHIOKA K., Mahler Functions and Transcendence, Lecture Notes in Math. 1631, Springer, New York, 1996. (1996) Zbl0876.11034MR1439966
  7. NISHIOKA K., Algebraic independence of Mahler functions and their values, Tohoku Math. J. (2) 48 (1996), 51-70. (1996) Zbl0852.11036MR1373174

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