Answer by Qiaochu Yuan for Ways to find the sum of complex roots with only...
This is pretty much as hard as finding the roots individually, for the following reason. Suppose there was some simple procedure (say some simple function of the coefficients) which produced, from a...
View ArticleWays to find the sum of complex roots with only positive imaginary parts?
I have an $n$-th order polynomial which has either 1 real root with $(n-1)$ complex roots for $n$ odd, or only complex roots for $n$ even. Is there a way to obtain the sum of all positive imaginary...
View Article
