Irrational rapidly convergent series
Rendiconti del Seminario Matematico della Università di Padova, Tome 107 (2002), pp. 225-231.
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     url = {http://www.numdam.org/item/RSMUP_2002__107__225_0/}
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Hančl, Jaroslav. Irrational rapidly convergent series. Rendiconti del Seminario Matematico della Università di Padova, Tome 107 (2002), pp. 225-231. http://www.numdam.org/item/RSMUP_2002__107__225_0/

[1] C. Badea, The irrationality of certain infinite series, Glasgow Math. J., 29 (1987), pp. 221-228. | MR | Zbl

[2] C. Badea, A theorem on irrationality of infinite series and applications, Acta Arith., LXIII (1993), pp. 313-323. | MR | Zbl

[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. | MR | Zbl

[4] P. Erdös, Some problems and results on the irrationality of the sum of infinite series, J. Math. Sci., 10 (1975), pp. 1-7. | MR | Zbl

[5] J. Hančl J., Criterion for irrational sequences, J. Number Theory, 43, no. 1 (1993), pp. 88-92. | MR | Zbl

[6] K. Mahler, Lectures on Transcendental numbers, Lecture notes in mathematics 546, Springer, 1976. | MR | Zbl

[7] K. Nishioka, Mahler Functions and Transcendence, Lecture notes in mathematics 1631, Springer, 1996. | MR | Zbl

[8] J. Sándor, Some classes of irrational numbers, Studia Univ. Babes Bolyai, Mathematica, 29 (1984), pp. 3-12. | MR | Zbl