let give w= e^(i((2π)/n)) and Z= Σ_(k=0) ^(n−1) w^k^2 find ∣Z∣^2 in form of double sum.


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Question Number 28166 by abdo imad last updated on 21/Jan/18

$l e t g i v e w = e^{i \frac{2 π}{n}} a n d Z = \sum_{k = 0}^{n - 1} w^{k^{2}} f i n d ∣ Z ∣^{2} i n$ $f o r m o f d o u b l e s u m .$
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