Let-w-1-pi-n-n-N-a-n-p-0-n-1-2p-1-1-w-2p-1-and-b-n-p-0-n-1-n-1-w-p-Find-all-integer-n-such-as-a-n-b-n-

Question Number 87687 by ~blr237~ last updated on 05/Apr/20

L e t w = [1; \frac{π}{n}], n \in N^{*}

a_{n} = \underset{p = 0}{\sum^{n - 1}} \frac{2 p + 1}{1 - w^{2 p + 1}} a n d b_{n} = \underset{p = 0}{\sum^{n - 1}} \frac{n}{1 + w^{p}}

F i n d a l l i n t e g e r n s u c h a s a_{n} = b_{n}

Answered by mind is power last updated on 05/Apr/20

w = e^{i \frac{π}{n}}, t h a t Y o u m e a n