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Transcendence results on the generating functions of the characteristic functions of certain self-generating sets, II

Transcendence results on the generating functions of the characteristic functions of certain self-generating sets, II

This article continues a previous paper by the authors. Here and there, the two power series $F(z)$ and $G(z)$, first introduced by Dilcher and Stolarsky and related to the so-called Stern polynomials, are studied analytically and arithmetically. More pr