On the irrationality of certain series.(English)Zbl 0279.10026

A criterion is established for the rationality of series of the form $$\sum b_n/a_1 \ldots a_n$$ where $$a_n,b_n$$ are integers, $$a_n \geq 2$$ and $$\lim b_n/(a_{n-1}a_n)=0$$. This criterion is applied to prove the irrationality and rational independence of certain special series of the above type.

MSC:

 11J81 Transcendence (general theory)
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