Irrational rapidly convergent series

Jaroslav Hančl

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 107, page 225-231
  • ISSN: 0041-8994

How to cite

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Hančl, Jaroslav. "Irrational rapidly convergent series." Rendiconti del Seminario Matematico della Università di Padova 107 (2002): 225-231. <http://eudml.org/doc/108582>.

@article{Hančl2002,
author = {Hančl, Jaroslav},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {225-231},
publisher = {Seminario Matematico of the University of Padua},
title = {Irrational rapidly convergent series},
url = {http://eudml.org/doc/108582},
volume = {107},
year = {2002},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - Irrational rapidly convergent series
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 107
SP - 225
EP - 231
LA - eng
UR - http://eudml.org/doc/108582
ER -

References

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  1. [1] C. BADEA, The irrationality of certain infinite series, Glasgow Math. J., 29 (1987), pp. 221-228. Zbl0629.10027MR901668
  2. [2] C. BADEA, A theorem on irrationality of infinite series and applications, Acta Arith., LXIII (1993), pp. 313-323. Zbl0770.11036MR1218459
  3. [3] D. DUVERNEY, Sur les series de nombres rationnels a convergence rapide, C. R. Acad. Sci., ser.I, Math., 328, no. 7 (1999), pp. 553-556. Zbl0940.11027MR1680014
  4. [4] P. ERDÖS, Some problems and results on the irrationality of the sum of infinite series, J. Math. Sci., 10 (1975), pp. 1-7. Zbl0372.10023MR539489
  5. [5] J. HANČL J., Criterion for irrational sequences, J. Number Theory, 43, no. 1 (1993), pp. 88-92. Zbl0768.11021MR1200812
  6. [6] K. MAHLER, Lectures on Transcendental numbers, Lecture notes in mathematics 546, Springer, 1976. Zbl0332.10019MR491533
  7. [7] K. NISHIOKA, Mahler Functions and Transcendence, Lecture notes in mathematics 1631, Springer, 1996. Zbl0876.11034MR1439966
  8. [8] J. SÁNDOR, Some classes of irrational numbers, Studia Univ. Babes Bolyai, Mathematica, 29 (1984), pp. 3-12. Zbl0544.10033MR782282

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