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Results tagged with zeroes
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user 101267
5
votes
1
answer
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views
Zeroes of a not quite holomorphic (but random if helpful) function
I’m interested in the zeroes of the complex function
$f(z,\bar{z}) = p(z) + \frac{1}{log(|z|)} q(z)$
where both $p$ and $q$ are polynomials of the complex variable $z$ (and are therefore holomorphic) … I would like to know how to count the zeroes of this function. Treating the coefficients as independent and identically distributed random variables would be fine too if that would be useful. …
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