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Results tagged with roots-of-unity
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user 70925
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Discrete Fourier transform of the Ramanujan's sums
Let $n$ be a positive integer, and $\zeta_n$ a primitive $n$-root of unity.
I consider the polynomial $P(X) = \sum_{k=0}^{\phi(n)-1} \left[ \sum_{l \in \mathbb{Z}_n^*}^n \zeta_n^{kl} \right]X^k = \su …
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