_acb_dirichlet_hardy_theta_series, acb_dirichlet_hardy_theta_series, _acb_dirichlet_hardy_z_series, acb_dirichlet_hardy_z_series
Synopsis
#include <flint/acb_dirichlet.h>void _acb_dirichlet_hardy_theta_series(acb_ptr res, acb_srcptr s, slong slen, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, slong prec)sourcevoid acb_dirichlet_hardy_theta_series(acb_poly_t res, const acb_poly_t s, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, slong prec)sourcevoid _acb_dirichlet_hardy_z_series(acb_ptr res, acb_srcptr s, slong slen, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, slong prec)sourcevoid acb_dirichlet_hardy_z_series(acb_poly_t res, const acb_poly_t s, const dirichlet_group_t G, const dirichlet_char_t chi, slong len, slong prec)sourceSet res to \theta(t(x)), respectively Z(t(x)), truncated to length len, for a power series t(x) (given as s).
Guides#
- Taylor series of complex functions (
acb_poly)
Cite this page
The FLINT team, “_acb_dirichlet_hardy_theta_series, acb_dirichlet_hardy_theta_series, _acb_dirichlet_hardy_z_series, acb_dirichlet_hardy_z_series (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/_acb_dirichlet_hardy_theta_series.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-hardy-theta-series,
author = {{The FLINT team}},
title = {{\_acb\_dirichlet\_hardy\_theta\_series, acb\_dirichlet\_hardy\_theta\_series, \_acb\_dirichlet\_hardy\_z\_series, acb\_dirichlet\_hardy\_z\_series (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_hardy_theta_series.html},
note = {Generated 2026-10-20}
}