A note to the transcendence of special infinite series

Jaroslav Hančl; Pavel Rucki

Mathematica Slovaca (2006)

  • Volume: 56, Issue: 4, page 409-414
  • ISSN: 0139-9918

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Hančl, Jaroslav, and Rucki, Pavel. "A note to the transcendence of special infinite series." Mathematica Slovaca 56.4 (2006): 409-414. <http://eudml.org/doc/31647>.

@article{Hančl2006,
author = {Hančl, Jaroslav, Rucki, Pavel},
journal = {Mathematica Slovaca},
keywords = {transcendence; infinite series},
language = {eng},
number = {4},
pages = {409-414},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A note to the transcendence of special infinite series},
url = {http://eudml.org/doc/31647},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Hančl, Jaroslav
AU - Rucki, Pavel
TI - A note to the transcendence of special infinite series
JO - Mathematica Slovaca
PY - 2006
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 56
IS - 4
SP - 409
EP - 414
LA - eng
KW - transcendence; infinite series
UR - http://eudml.org/doc/31647
ER -

References

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  1. ADHIKARI S. D.-SARADHA N.-SHOREY T. N.-TIJDEMAN R., Transcendental infinite sums, Indag. Math. (N.S.) 12 (2001), 1-14. Zbl1032.11030MR1908135
  2. DAVENPORT H.-ROTH K. F., Rational approximations to algebraic numbers, Mathematika 2 (1955), 160-167. (1955) Zbl0066.29302MR0077577
  3. DUVERNEY D., Transcendence of a fast converging series of rational numbers, Math. Proc. Cambridge Philos. Soc. 130 (2001), 193-207. Zbl0999.11037MR1806772
  4. HANČL J., Transcendental sequences, Math. Slovaca 46 (1996), 177-179. (1996) Zbl0888.11029MR1427003
  5. HANČL J., Two criteria for transcendental sequences, Matematiche (Catania) 56 (2002), 129-140. Zbl1173.11338MR1997731
  6. HANČL J., Liouville sequences, Nagoya Math. J. 172 (2003), 173-187. Zbl1056.11043MR2019524
  7. NISHIOKA K., Mahler Functions and Transcendence, Lecture Notes in Math. 1631, Springer, New York, 1996. (1996) Zbl0876.11034MR1439966
  8. NYBLOM M. A., A theorem on transcendence of infinite series, Rocky Mountain J. Math. 30 (2000), 1111-1120. Zbl1012.11063MR1797832
  9. Encyclopaedia of Mathematical Sciences, Vol. 44- Number Theory IV, (A. N. Parshin, I. R. Shafarevich, eds.), Springer-Verlag, Berlin-Heidelberg, 1998. (1998) MR1603604

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