We generalize a previous result due to Badea relating to the irrationality of some quick convergent infinite series.
On démontre une généralisation d'un résultat dû à Badea concernant l'irrationnalité de certaines séries à convergence rapide.
@article{JTNB_1996__8_2_275_0, author = {Jaroslav Han\v{c}l}, 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}, doi = {10.5802/jtnb.169}, zbl = {0870.11040}, mrnumber = {1438470}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.169/} }
TY - JOUR TI - Irrationality of quick convergent series JO - Journal de Théorie des Nombres de Bordeaux PY - 1996 DA - 1996/// SP - 275 EP - 282 VL - 8 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.169/ UR - https://zbmath.org/?q=an%3A0870.11040 UR - https://www.ams.org/mathscinet-getitem?mr=1438470 UR - https://doi.org/10.5802/jtnb.169 DO - 10.5802/jtnb.169 LA - en ID - JTNB_1996__8_2_275_0 ER -
Jaroslav Hančl. Irrationality of quick convergent series. Journal de Théorie des Nombres de Bordeaux, Volume 8 (1996) no. 2, pp. 275-282. doi : 10.5802/jtnb.169. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.169/
[1] The Irrationality of Certain Infinite Series, Glasgow. Math J. 29 (1987), 221-228. | MR: 901668 | Zbl: 0629.10027
,[2] A Theorem on Irrationality of Infinite Series and Applications, Acta Arith. LXII.4 (1993), 313-323. | MR: 1218459 | Zbl: 0770.11036
,[3] A Theorem about Irrationality, Arch. for Math. og Naturvideskab Kristiana 31,, (1910), 3 (German).
,[4] Some Problems and Results on the Irrationality of the Sum of Infinite Series, J. Math. Sci. 10 (1975), 1-7. | MR: 539489 | Zbl: 0372.10023
,[5] On the Irrationality of Certain Ahmes Series, J. Indian Math. Soc. 27 (1963), 129-133. | MR: 175848 | Zbl: 0131.04902
and ,[6] The Lecture of Differential and Integral Calculations, part I, issue 6, Nauka, Moskva, 1966 (Russian).
,[7] Criterion for Irrational Sequences, J. Num. Theory 43 n° 1 (1993), 88-92. | MR: 1200812 | Zbl: 0768.11021
,[8] Some Classes of Irrational Numbers, Studia Univ. Babes-Bolyai Math. 29 (1984), 3-12. | MR: 782282 | Zbl: 0544.10033
,Cited by Sources: