Geodesic
Diophantine Approximations of Infinite Series and Products
Communications in Mathematics, Tome 24 (2016) no. 1, pp. 71-82 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.
This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.
Classification : 11J72, 11J81, 11K55
Keywords: Infinite products; irrationality; linear independence; expressible set 
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Kolouch, Ondřej; Novotný, Lukáš. Diophantine Approximations of Infinite Series and Products. Communications in Mathematics, Tome 24 (2016) no. 1, pp. 71-82. http://geodesic.mathdoc.fr/item/COMIM_2016_24_1_a5/

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