fmpz_mpoly_factor_bound_si
Synopsis
#include <flint/fmpz_mpoly_factor.h>Sets B to a bound on the coefficients of the divisors of a polynomial f whose coefficients are bounded by A in absolute value and whose degrees in its n = nvars variables are d_0, \ldots, d_{n-1} (degs): B = |A| \cdot (\lfloor \sqrt{\lceil \prod_i (d_i + 1) / 2^{n} \rceil} \rfloor + 1) \cdot 2^{\sum_i d_i}, and B = 0 if some d_i < 0. Returns 0 if the degree sum overflows and 1 otherwise. fmpz_mpolyl_gcd_zippel uses this bound to decide when to give up on a modular reconstruction and start over.
Cite this page
The FLINT team, “fmpz_mpoly_factor_bound_si (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_mpoly_factor_bound_si.html (generated 2026-10-20).
@misc{flint-doc-fmpz-mpoly-factor-fmpz-mpoly-factor-bound-si,
author = {{The FLINT team}},
title = {{fmpz\_mpoly\_factor\_bound\_si (fmpz\_mpoly\_factor.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/fmpz_mpoly_factor/fmpz_mpoly_factor_bound_si.html},
note = {Generated 2026-10-20}
}