acb_theta_g2_transvectant
Synopsis
#include <flint/acb_theta.h>void acb_theta_g2_transvectant(acb_poly_t res, const acb_poly_t g, const acb_poly_t h, slong m, slong n, slong k, int lead, slong prec)sourceSets res to the k-th transvectant of the polynomials g and h, seen as binary forms of degrees m and n (higher coefficients are ignored), or to its leading coefficient (as a constant polynomial) if lead is nonzero.
With g, h homogeneous in x_1, x_2,
(g,h)_k = \frac{(m-k)!(n-k)!}{m!n!} \sum_{j=0}^{k} (-1)^{k-j} \binom{k}{j}
\frac{\partial^k g}{\partial x_1^{k-j}\partial x_2^j}
\frac{\partial^k h}{\partial x_1^{j}\partial x_2^{k-j}}.
Cite this page
The FLINT team, “acb_theta_g2_transvectant (acb_theta.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_theta/acb_theta_g2_transvectant.html (generated 2026-10-20).
@misc{flint-doc-acb-theta-acb-theta-g2-transvectant,
author = {{The FLINT team}},
title = {{acb\_theta\_g2\_transvectant (acb\_theta.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_theta/acb_theta_g2_transvectant.html},
note = {Generated 2026-10-20}
}