`JacobiTheta, JacobiThetaQ`

Synopsis#include <flint/fexpr_builtin.h>

JacobiTheta

JacobiThetaQ

Jacobi theta functions $\theta_j$ , $j = 1, 2, 3, 4$ , in terms of the lattice parameter $\tau$ , JacobiTheta(j, z, tau) ( $\theta_{j}\!\left(z, \tau\right)$ ), with derivatives JacobiTheta(j, z, tau, r) ( ${\theta}^{(r)}_{j}\!\left(z, \tau\right)$ ), or in terms of the nome $q$ , JacobiThetaQ(j, z, q) ( $\theta_{j}\!\left(z, q\right)$ ).

Cite this page

The FLINT team, “JacobiTheta, JacobiThetaQ (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/JacobiTheta.html (generated 2026-11-02).

@misc{flint-doc-fexpr-builtin-JacobiTheta,
  author       = {{The FLINT team}},
  title        = {{JacobiTheta, JacobiThetaQ (fexpr\_builtin.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/fexpr_builtin/JacobiTheta.html},
  note         = {Generated 2026-11-02}
}

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