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://archive.numdam.org/item/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://archive.numdam.org/item/JTNB_1996__8_2_275_0/
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