Summation of roots of unity – math.stackexchange.com

Summation of roots of unity – math.stackexchange.com

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Find the value of $\displaystyle\sum_{r=1}^{4} \frac{1}{2-\alpha^r} $ where $ \alpha^k (k=0,1,2,3,4,5) $ are fifth roots of unity. My approach:- As we know that $ \alpha^k (k=0,1,2,3,4,5) $ are ...

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