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For any set $\{\alpha_1, \alpha_2, \ldots, \alpha_s\}$ of non-zero complex numbers, the angle rank of the set is the quantity $$\dim_{\Q}\left({\rm Span}_{\Q}\left\{ \frac{ {\rm Arg}( \alpha_i)}{2\pi}\right\} \cup \{1\} \right)-1.$$ The angle rank of a polynomial is the angle rank of the set of its non-zero roots.

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• Review status: reviewed
• Last edited by Christelle Vincent on 2017-05-26 17:10:38
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