acb_dirichlet_platt_c_precomp_init, acb_dirichlet_platt_c_precomp_clear, acb_dirichlet_platt_c_bound_precomp, acb_dirichlet_platt_c_bound
Synopsis
#include <flint/acb_dirichlet.h>void acb_dirichlet_platt_c_precomp_init(acb_dirichlet_platt_c_precomp_t pre, slong sigma, const arb_t h, ulong k, slong prec)sourcevoid acb_dirichlet_platt_c_precomp_clear(acb_dirichlet_platt_c_precomp_t pre)sourcevoid acb_dirichlet_platt_c_bound_precomp(arb_t res, const acb_dirichlet_platt_c_precomp_t pre, slong sigma, const arb_t t0, const arb_t h, slong k, slong prec)sourcevoid acb_dirichlet_platt_c_bound(arb_t res, slong sigma, const arb_t t0, const arb_t h, slong k, slong prec)sourceSet res to the bound C(\sigma, t_0, h, k) of [Pla2017] for the k-th derivative of the scaled function in the strip used for the error analysis, with or without precomputed constants that depend only on \sigma, h and k.
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_c_precomp_init, acb_dirichlet_platt_c_precomp_clear, acb_dirichlet_platt_c_bound_precomp, acb_dirichlet_platt_c_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_c_precomp_init.html (generated 2026-10-20).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-platt-c-precomp-init,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_platt\_c\_precomp\_init, acb\_dirichlet\_platt\_c\_precomp\_clear, acb\_dirichlet\_platt\_c\_bound\_precomp, acb\_dirichlet\_platt\_c\_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_c_precomp_init.html},
note = {Generated 2026-10-20}
}