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Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.

20 votes
1 answer
583 views

Conjecture on the number of roots of $z^n + P(z)$ within the unit disk

Some other people and I have noticed that the following seems to be true. Fix an integer polynomial $P \in \mathbb{Z}[x]$. Let $a_n$ be the number of roots of $z^n + P(z) = 0$ that lie in the unit di …
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