Let $\sum a_n x^n$ be a power series with radius of convergence $R$.
What is the radius of convergence of $\sum a_n x^{n^2}$?
Can anyone help me here?
2026-04-06 21:47:08.1775512028
Radius of convergence of $\sum a_n x^{n^2}$
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Hint: Let $b_k:=a_n$ if $k=n^2$ and $b_k:=0$ else.