FLINT3.7.0-dev

acb_dirichlet_platt_hardy_z_zeros, acb_dirichlet_platt_local_hardy_z_zeros, _acb_dirichlet_platt_local_hardy_z_zeros

Synopsis#include <flint/acb_dirichlet.h>
slong acb_dirichlet_platt_hardy_z_zeros(arb_ptr res, const fmpz_t n, slong len, slong prec)source
slong acb_dirichlet_platt_local_hardy_z_zeros(arb_ptr res, const fmpz_t n, slong len, slong prec)source
slong _acb_dirichlet_platt_local_hardy_z_zeros(arb_ptr res, const fmpz_t n, slong len, const fmpz_t T, slong A, slong B, const arb_t h, const fmpz_t J, slong K, slong sigma_grid, slong Ns_max, const arb_t H, slong sigma_interp, slong prec)source

Set at most len entries of res to consecutive zeros \gamma_n, \ldots of the Hardy Z-function and return the number found. The local versions make one grid evaluation; acb_dirichlet_platt_hardy_z_zeros repeats them until len zeros are found. The parameters of the underscore version have the meanings of acb_dirichlet_platt_multieval and acb_dirichlet_platt_ws_interpolation.

Cite this page

The FLINT team, “acb_dirichlet_platt_hardy_z_zeros, acb_dirichlet_platt_local_hardy_z_zeros, _acb_dirichlet_platt_local_hardy_z_zeros (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_platt_hardy_z_zeros.html (generated 2026-10-20).