fmpz_mod_mpoly_gcd, fmpz_mod_mpoly_gcd_cofactors
Synopsis
#include <flint/fmpz_mod_mpoly.h>int fmpz_mod_mpoly_gcd(fmpz_mod_mpoly_t G, const fmpz_mod_mpoly_t A, const fmpz_mod_mpoly_t B, const fmpz_mod_mpoly_ctx_t ctx)sourceint fmpz_mod_mpoly_gcd_cofactors(fmpz_mod_mpoly_t G, fmpz_mod_mpoly_t Abar, fmpz_mod_mpoly_t Bbar, const fmpz_mod_mpoly_t A, const fmpz_mod_mpoly_t B, const fmpz_mod_mpoly_ctx_t ctx)sourceSet G to the monic GCD of A and B (zero if both are zero), and fmpz_mod_mpoly_gcd_cofactors also \bar{A} = A/G and \bar{B} = B/G. For a word-size modulus the computation is done by nmod_mpoly.
Cite this page
The FLINT team, “fmpz_mod_mpoly_gcd, fmpz_mod_mpoly_gcd_cofactors (fmpz_mod_mpoly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fmpz_mod_mpoly/fmpz_mod_mpoly_gcd.html (generated 2026-10-20).
@misc{flint-doc-fmpz-mod-mpoly-fmpz-mod-mpoly-gcd,
author = {{The FLINT team}},
title = {{fmpz\_mod\_mpoly\_gcd, fmpz\_mod\_mpoly\_gcd\_cofactors (fmpz\_mod\_mpoly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_mod_mpoly/fmpz_mod_mpoly_gcd.html},
note = {Generated 2026-10-20}
}