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Results tagged with cv.complex-variables
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user 5499
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
20
votes
Ways to prove the fundamental theorem of algebra
As in one of the previous posts, consider the projective space $CP^n$ of nonzero all polynomials
$$ c_nT^n + c_{n-1} T^{n-1} + \cdots + c_1 T + c_0 $$
considered up to nonzero scalar multiple. We'll …
12
votes
Accepted
Do there exist transcendental numbers which are not hypertranscendental?
Let $z$ be an arbitrary complex number. Since $\mathbb{Q}[i]$ is dense in $\mathbb{C}$, we can choose a sequence of complex numbers $a_n$ such that $|a_n|< \frac{1}{n!}$ and $a_{n+1} - \frac{a_n}{z} …
- 932