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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.

8 votes
0 answers
356 views

Computing coefficients of polynomials from roots in $O(n\log{n})$ time

Suppose I have a univariate polynomial $p$ over a prime-order finite field $\mathbb{F}_q$ whose roots I know. Suppose that the roots of $p$ are always an $n$-sized subset of $R=\{1,2,\dots,N\}, N < q …
6 votes
0 answers
429 views

Computing remainders modulo $\prod_{i\in S} (x-x_i)$ fast using FFT

Note: Originally asked on Math StackExchange here, without an answer. Figured I should try here, since this is a more research-level question. I am trying to implement a fast polynomial multipoint ev …