`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 2026-11-02).

@misc{flint-doc-acb-elliptic-acb-elliptic-p-prime,
  author       = {{The FLINT team}},
  title        = {{acb\_elliptic\_p\_prime (acb\_elliptic.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_elliptic/acb_elliptic_p_prime.html},
  note         = {Generated 2026-11-02}
}

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