FLINT3.7.0-dev

acb_dirichlet_l_vec_hurwitz

Synopsis#include <flint/acb_dirichlet.h>
void acb_dirichlet_l_vec_hurwitz(acb_ptr res, const acb_t s, const acb_dirichlet_hurwitz_precomp_t precomp, const dirichlet_group_t G, slong prec)source

Sets res (of length \phi(q)) to L(s,\chi) for all characters \chi modulo q, from the \phi(q) values \zeta(s, k/q) and one discrete Fourier transform. The values are ordered by lexicographically ordered Conrey logarithms, as in acb_dirichlet_dft_index. If precomp is NULL, each Hurwitz zeta value is computed directly.

Cite this page

The FLINT team, “acb_dirichlet_l_vec_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_vec_hurwitz.html (generated 2026-10-20).