_acb_poly_zeta_em_bound1, _acb_poly_zeta_em_bound
Synopsis
#include <flint/acb_poly.h>void _acb_poly_zeta_em_bound1(mag_t bound, const acb_t s, const acb_t a, slong N, slong M, slong d, slong wp)sourcevoid _acb_poly_zeta_em_bound(arb_ptr vec, const acb_t s, const acb_t a, ulong N, ulong M, slong d, slong wp)sourceCompute bounds for the error of the Euler–Maclaurin evaluation with parameters N, M: _acb_poly_zeta_em_bound bounds each of the d coefficients, _acb_poly_zeta_em_bound1 gives a single bound for all of them. The formulas are those of [Joh2013].
References#
- [Joh2013] F. Johansson, "Rigorous high-precision computation of the Hurwitz zeta function and its derivatives", Numerical Algorithms, http://arxiv.org/abs/1309.2877 https://doi.org/10.1007/s11075-014-9893-1
Cite this page
The FLINT team, “_acb_poly_zeta_em_bound1, _acb_poly_zeta_em_bound (acb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_poly/_acb_poly_zeta_em_bound1.html (generated 2026-10-20).
@misc{flint-doc-acb-poly-acb-poly-zeta-em-bound1,
author = {{The FLINT team}},
title = {{\_acb\_poly\_zeta\_em\_bound1, \_acb\_poly\_zeta\_em\_bound (acb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/acb_poly/_acb_poly_zeta_em_bound1.html},
note = {Generated 2026-10-20}
}