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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
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Is this FFT algorithm known?
Recently I've been thinking about alternatives to the usual Cooley-Tukey FFT for multiplying polynomials. I think I've come up with a pretty nifty algorithm for multiplying polynomials. … My algorithm calculates the product of two polynomials $P$ and $Q$ $\mod x^n - \omega$ in $O(n \log n)$ time, assuming $n$ is a power of two, and $\omega$ is a non-zero complex number.
Part 1. …