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Results tagged with cv.complex-variables
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user 38468
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
5
votes
Accepted
Is there a critical point of a polynomial $f$ within every disc having as diameter the line ...
No. Take $f(z)=z^n-1$ to get an easy counterexample.
- 5,186
5
votes
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 …
- 5,186