Determine all z in for which the series \sum_{n=0}^\infinity 1/(1-z^n) converges and find the largest domain in which the series converges to an analytic function.
Determine all z in for which the series \sum_{n=0}^\infinity 1/(1-z^n) converges and find the largest domain in which the series converges to an analytic function.
Any hints?
Thanks.
There is only a minor problem: for n=0 is no matter which is z, so that computing is a bit unconfortable...