FLINT3.7.0-dev

fmpz_poly_pfrac_precomp

Synopsis#include <flint/fmpz_mpoly_factor.h>
int fmpz_poly_pfrac_precomp(fmpz_poly_struct * c, const fmpz_poly_t A, fmpz_poly_pfrac_t Iv)source

Solves A/∏ibi=∑ici/biA / \prod_i b_i = \sum_i c_i / b_i for ci∈Z[x]c_i \in \mathbb{Z}[x] with deg⁡ci<deg⁡bi\deg c_i < \deg b_i for i<r−1i < r - 1. The solution is computed modulo a power pkp^k of the prime and checked by exact division; on failure the precision is raised until a Cramer–Hadamard bound on the solution shows that no integer solution exists. Returns 1 if a solution exists and 0 otherwise, so a return value of 0 is a proof.

Cite this page

The FLINT team, “fmpz_poly_pfrac_precomp (fmpz_mpoly_factor.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mpoly_factor/fmpz_poly_pfrac_precomp.html (generated 2026-11-02).