Consider a scaled sine function, sin(2pix/2n), for some positive integer n. For this, I have the following linear combination.
sum2n−2x=1cxsin(2pix/2n).
(The upper limit to the sum is 2n−2.)
The question is whether there exist cxin0,pm1,pm2, not all 0, that make the above expression 0, for infinitely many n?
If it helps, the above came up in a computation concerning the discrete Fourier Transform.
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