Irrationality of quick convergent series

Jaroslav Hančl

Journal de théorie des nombres de Bordeaux (1996)

  • Volume: 8, Issue: 2, page 275-282
  • ISSN: 1246-7405

Abstract

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We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.

How to cite

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Hančl, Jaroslav. "Irrationality of quick convergent series." Journal de théorie des nombres de Bordeaux 8.2 (1996): 275-282. <http://eudml.org/doc/247845>.

@article{Hančl1996,
abstract = {We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.},
author = {Hančl, Jaroslav},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {irrationality; irrational numbers; infinite series},
language = {eng},
number = {2},
pages = {275-282},
publisher = {Université Bordeaux I},
title = {Irrationality of quick convergent series},
url = {http://eudml.org/doc/247845},
volume = {8},
year = {1996},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - Irrationality of quick convergent series
JO - Journal de théorie des nombres de Bordeaux
PY - 1996
PB - Université Bordeaux I
VL - 8
IS - 2
SP - 275
EP - 282
AB - We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.
LA - eng
KW - irrationality; irrational numbers; infinite series
UR - http://eudml.org/doc/247845
ER -

References

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  1. [1] C. Badea, The Irrationality of Certain Infinite Series, Glasgow. Math J.29 (1987), 221-228. Zbl0629.10027MR901668
  2. [2] C. Badea, A Theorem on Irrationality of Infinite Series and Applications, Acta Arith. LXII.4 (1993), 313-323. Zbl0770.11036MR1218459
  3. [3] V. Brun, A Theorem about Irrationality, Arch. for Math. og Naturvideskab Kristiana31,, (1910), 3 (German). 
  4. [4] P. Erdös, Some Problems and Results on the Irrationality of the Sum of Infinite Series, J. Math. Sci.10 (1975), 1-7. Zbl0372.10023MR539489
  5. [5] P. Erdös and E.G. Strauss, On the Irrationality of Certain Ahmes Series, J. Indian Math. Soc.27 (1963), 129-133. Zbl0131.04902MR175848
  6. [6] G.M. Fichtengolz, The Lecture of Differential and Integral Calculations, part I, issue 6, Nauka, Moskva, 1966 (Russian). 
  7. [7] J. Hančl, Criterion for Irrational Sequences, J. Num. Theory 43 n° 1 (1993), 88-92. Zbl0768.11021MR1200812
  8. [8] J. Sándor, Some Classes of Irrational Numbers, Studia Univ. Babes-Bolyai Math.29 (1984), 3-12. Zbl0544.10033MR782282

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