I've come across this infinite series: $\sum_{n=0}^\infty x^{n^\alpha}$, with $0<x<1$ and $\alpha > 0$.
Does this series have a name and/or is there a method for computing it (besides brute force, obviously)? Thanks!
Is there any numerical technique to sum x^(n^alpha), n=0,1,...?
MarkV
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