Irrationality of quick convergent series
Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 275-282.

On démontre une généralisation d'un résultat dû à Badea concernant l'irrationnalité de certaines séries à convergence rapide.

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

@article{JTNB_1996__8_2_275_0,
     author = {Han\v{c}l, Jaroslav},
     title = {Irrationality of quick convergent series},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     pages = {275--282},
     publisher = {Universit\'e Bordeaux I},
     volume = {8},
     number = {2},
     year = {1996},
     mrnumber = {1438470},
     zbl = {0870.11040},
     language = {en},
     url = {http://www.numdam.org/item/JTNB_1996__8_2_275_0/}
}
TY  - JOUR
AU  - Hančl, Jaroslav
TI  - Irrationality of quick convergent series
JO  - Journal de théorie des nombres de Bordeaux
PY  - 1996
SP  - 275
EP  - 282
VL  - 8
IS  - 2
PB  - Université Bordeaux I
UR  - http://www.numdam.org/item/JTNB_1996__8_2_275_0/
LA  - en
ID  - JTNB_1996__8_2_275_0
ER  - 
%0 Journal Article
%A Hančl, Jaroslav
%T Irrationality of quick convergent series
%J Journal de théorie des nombres de Bordeaux
%D 1996
%P 275-282
%V 8
%N 2
%I Université Bordeaux I
%U http://www.numdam.org/item/JTNB_1996__8_2_275_0/
%G en
%F JTNB_1996__8_2_275_0
Hančl, Jaroslav. Irrationality of quick convergent series. Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 2, pp. 275-282. http://www.numdam.org/item/JTNB_1996__8_2_275_0/

[1] C. Badea, The Irrationality of Certain Infinite Series, Glasgow. Math J. 29 (1987), 221-228. | MR | Zbl

[2] C. Badea, A Theorem on Irrationality of Infinite Series and Applications, Acta Arith. LXII.4 (1993), 313-323. | MR | Zbl

[3] V. Brun, A Theorem about Irrationality, Arch. for Math. og Naturvideskab Kristiana 31,, (1910), 3 (German).

[4] P. Erdös, Some Problems and Results on the Irrationality of the Sum of Infinite Series, J. Math. Sci. 10 (1975), 1-7. | MR | Zbl

[5] P. Erdös and E.G. Strauss, On the Irrationality of Certain Ahmes Series, J. Indian Math. Soc. 27 (1963), 129-133. | MR | Zbl

[6] G.M. Fichtengolz, The Lecture of Differential and Integral Calculations, part I, issue 6, Nauka, Moskva, 1966 (Russian).

[7] J. Hančl, Criterion for Irrational Sequences, J. Num. Theory 43 n° 1 (1993), 88-92. | MR | Zbl

[8] J. Sándor, Some Classes of Irrational Numbers, Studia Univ. Babes-Bolyai Math. 29 (1984), 3-12. | MR | Zbl