The converse to Alexandre Froda's irrationality criterion.
The irrationality of some number theoretical series
Transcendental numbers having explicit -adic and Jacobi-Perron expansions
Two theorems on meromorphic functions used as a principle for proofs on irrationality
In this paper we discuss two theorems on meromorphic functions of Nikishin and Chudnovsky. Our purpose is to show, how to derive some well-known but not obvious results on irrationality in a systematic and simple way from properties of meromorphic functions with arithmetic conditions. As far as it stands, we have no new results on irrationality, to the contrary some results on numbers of the corollaries are known already since a long time to be transcendental (cf. [4], [9] and [10]). Our main intention...