The achievement set of generalized multigeometric sequences

Dmytro Karvatskyi, Aniceto Murillo, Antonio Viruel

We study the topology of all possible subsums of the generalized multigeometric series $k_{1}f(x)+k_{2}f(x)+\cdots +k_{m}f(x)+\cdots +k_{1}f(x^n)+\cdots +k_{m}f(x^n)+\dots ,$ where $k_1, k_2, \do…