acb_dirichlet_platt_i_precomp_init, acb_dirichlet_platt_i_precomp_clear, acb_dirichlet_platt_i_bound_precomp, acb_dirichlet_platt_i_bound
Synopsis
#include <flint/acb_dirichlet.h>void acb_dirichlet_platt_i_precomp_init(acb_dirichlet_platt_i_precomp_t pre, slong A, const arb_t H, slong sigma, slong prec)sourcevoid acb_dirichlet_platt_i_precomp_clear(acb_dirichlet_platt_i_precomp_t pre)sourcevoid acb_dirichlet_platt_i_bound_precomp(arb_t res, const acb_dirichlet_platt_i_precomp_t pre_i, const acb_dirichlet_platt_c_precomp_t pre_c, const arb_t t0, slong A, const arb_t H, slong sigma, slong prec)sourcevoid acb_dirichlet_platt_i_bound(arb_t res, const arb_t t0, slong A, const arb_t H, slong sigma, slong prec)sourceSet res to the bound I of [Pla2017] for the error of the Whittaker–Shannon interpolation caused by the Gaussian window and the sampling rate A, with or without precomputed constants.
References#
- [Pla2017] D. J. Platt, "Isolating some non-trivial zeros of zeta", Mathematics of Computation 86 (2017), 2449-2467, https://doi.org/10.1090/mcom/3198
Cite this page
The FLINT team, “acb_dirichlet_platt_i_precomp_init, acb_dirichlet_platt_i_precomp_clear, acb_dirichlet_platt_i_bound_precomp, acb_dirichlet_platt_i_bound (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_i_precomp_init.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-platt-i-precomp-init,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_platt\_i\_precomp\_init, acb\_dirichlet\_platt\_i\_precomp\_clear, acb\_dirichlet\_platt\_i\_bound\_precomp, acb\_dirichlet\_platt\_i\_bound (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_platt_i_precomp_init.html},
note = {Generated 2026-10-20}
}