let f:C→R z→min(y−[y],[y+1]−y) , y=Im(z) let w=e^(i((2π)/n)) , n∈N^∗ evaluate S_n =Σ


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Question Number 157593 by metamorfose last updated on 25/Oct/21

$l e t f : C \to R$ $z \to m i n (y - [y], [y + 1] - y), y = I m (z)$ $l e t w = e^{i \frac{2 π}{n}}, n \in N^{*}$ $e v a l u a t e S_{n} = \sum_{0 ⩽ k < n} f (w^{k})$
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