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Diophantine Approximations of Infinite Series and Products

Ondřej Kolouch, Lukáš Novotný (2016)

Communications in Mathematics

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.

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