gr_zeta_zero, gr_zeta_zero_vec, gr_zeta_nzeros
Synopsis
#include <flint/gr_special.h>Set res to the n-th nontrivial zero \rho_n = 1/2 + i t_n of \zeta(s) in the upper half-plane, counted from n = 1 by increasing height; to the len consecutive zeros \rho_n, \rho_{n+1}, \ldots; or to the number N(t) of zeros with imaginary part in (0, t]. The ball implementations return GR_UNABLE for n < 1 and for non-real or non-finite t.
Cite this page
The FLINT team, “gr_zeta_zero, gr_zeta_zero_vec, gr_zeta_nzeros (gr_special.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/gr_special/gr_zeta_zero.html (generated 2026-10-20).
@misc{flint-doc-gr-special-gr-zeta-zero,
author = {{The FLINT team}},
title = {{gr\_zeta\_zero, gr\_zeta\_zero\_vec, gr\_zeta\_nzeros (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_zeta_zero.html},
note = {Generated 2026-10-20}
}