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Sep 18, 2017 at 18:36 comment added Andrew The last equality in (2) is obtained by first evaluating the geometric series with n varying from 1 to N-k, and then evaluating the geometric series with k varying from 1 to N-1. The result of each step can be simplified by eliminating terms containing $exp(i*\pi*(s_1+s_2))$.
Sep 18, 2017 at 18:26 comment added Fedor Petrov I do not understand the last equality in (2)
Sep 18, 2017 at 16:17 history asked Andrew CC BY-SA 3.0