acb_dirichlet_hurwitz
Synopsis
#include <flint/acb_dirichlet.h>Sets res to the Hurwitz zeta function \zeta(s, a) = \sum_{k=0}^{\infty} (k + a)^{-s}, analytically continued. The case a = 1 calls acb_dirichlet_zeta, and s = 0 and small negative integers s use Bernoulli polynomials; otherwise Euler–Maclaurin summation is used (_acb_poly_zeta_cpx_series). The result is indeterminate if s contains 1.
Cite this page
The FLINT team, “acb_dirichlet_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_hurwitz.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-hurwitz,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_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_hurwitz.html},
note = {Generated 2026-10-20}
}