## Irrationality results for two particular functions. (Des résultats d’irrationalité pour deux fonctions particulières.)(French)Zbl 1159.11316

Summary: This paper studies irrationality of values taken by the functions $$T_q$$ defined by $$T_q(z)=\sum^{+\infty}_{n=0}z^n/q^{n(n+1)/2}$$, and $$E_q$$ such that $$E_q(z)=\sum^{+\infty}_{n=0}z^n/\prod^n_{k=1}(q^k-1)$$, where $$q\in\mathbb Q$$ and $$|q|>1$$.

### MSC:

 11J72 Irrationality; linear independence over a field 11J91 Transcendence theory of other special functions
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