acb_dirichlet_l_hurwitz
Synopsis
#include <flint/acb_dirichlet.h>void acb_dirichlet_l_hurwitz(acb_t res, const acb_t s, const acb_dirichlet_hurwitz_precomp_t precomp, const dirichlet_group_t G, const dirichlet_char_t chi, slong prec)sourceSets res to L(s,\chi) = q^{-s}\sum_{k=1}^q \chi(k) \zeta(s, k/q). For s = 1 and non-principal \chi, the deflated Hurwitz zeta function is used to avoid the poles. If precomp is NULL, each Hurwitz zeta value is computed directly; otherwise the precomputation is used.
Cite this page
The FLINT team, “acb_dirichlet_l_hurwitz (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_l_hurwitz.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-l-hurwitz,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_l\_hurwitz (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_l_hurwitz.html},
note = {Generated 2026-10-20}
}