FLINT3.7.0-dev

acb_elliptic_p_prime

Synopsis#include <flint/acb_elliptic.h>
void acb_elliptic_p_prime(acb_t r, const acb_t z, const acb_t tau, slong prec)source

Sets r to the derivative \wp'(z, \tau) with respect to z, computed by \wp'(z,\tau) = (-2\pi \eta(\tau)^2/\theta_1(z,\tau))^3 \, \theta_2(z,\tau) \theta_3(z,\tau) \theta_4(z,\tau), where \eta is the Dedekind eta function.

Cite this page

The FLINT team, “acb_elliptic_p_prime (acb_elliptic.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_elliptic/acb_elliptic_p_prime.html (generated 2026-10-20).