gr_dirichlet_eta, gr_dirichlet_beta
Synopsis
#include <flint/gr_special.h>Set res to the Dirichlet eta function \eta(s) = (1 - 2^{1-s}) \zeta(s) and the Dirichlet beta function \beta(s) = \sum_{k \ge 0} (-1)^k (2k+1)^{-s}. gr_dirichlet_beta is implemented for real and complex balls, as the Dirichlet L-function of the nontrivial character modulo 4 (acb_dirichlet_l).
Cite this page
The FLINT team, “gr_dirichlet_eta, gr_dirichlet_beta (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_dirichlet_eta.html (generated 2026-10-20).
@misc{flint-doc-gr-special-gr-dirichlet-eta,
author = {{The FLINT team}},
title = {{gr\_dirichlet\_eta, gr\_dirichlet\_beta (gr\_special.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/gr_special/gr_dirichlet_eta.html},
note = {Generated 2026-10-20}
}