An extension of algebraic independence of special values for non-lacunary power series

Hajime Kaneko, Satoru Oshima, Takafumi Tsurumaki

We study the algebraic independence of special values of power series $f({\beta }^{-1})$, where $\beta$ is a fixed Pisot or Salem number. In particular, we consider the case where $f(X)=\sum_…