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Results tagged with analytic-continuation
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user 38468
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Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
Suppose that $|x|<1$ and $|t|<1$. Then the power series $\sum_{n\geq 1}\frac {x^n}{1-yt^n}$, considered as a function of $y$, converges uniformly on compact sets disjoint from $y=t^{-k}$. Indeed, the …
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