let-w-k-e-i-2kpi-n-find-A-k-0-n-1-a-bw-k-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 30600 by abdo imad last updated on 23/Feb/18

let w_k =e^(i((2kπ)/n)) find A= Π_(k=0) ^(n−1) (a +bw_k ).

$${let}\:{w}_{{k}} ={e}^{{i}\frac{\mathrm{2}{k}\pi}{{n}}} \:\:\:\:{find}\:{A}=\:\prod_{{k}=\mathrm{0}} ^{{n}−\mathrm{1}} \left({a}\:+{bw}_{{k}} \:\right). \\ $$

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