`acb_dirichlet_theta_length, acb_dirichlet_theta_length_d`

Synopsis#include <flint/acb_dirichlet.h>

ulong acb_dirichlet_theta_length(ulong q, const arb_t t, slong prec)source

ulong acb_dirichlet_theta_length_d(ulong q, double t, slong prec)source

Return a number of terms $N$ such that the tail of the theta series of modulus $q$ at $t$ is less than $2^{-\text{prec}}$ . The first version uses a lower bound for $t$ .

Cite this page

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

@misc{flint-doc-acb-dirichlet-acb-dirichlet-theta-length,
  author       = {{The FLINT team}},
  title        = {{acb\_dirichlet\_theta\_length, acb\_dirichlet\_theta\_length\_d (acb\_dirichlet.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_theta_length.html},
  note         = {Generated 2026-11-02}
}

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