acb_dirichlet_zeta_jet
#include <flint/acb_dirichlet.h>Sets res (a vector of length len) to the Taylor coefficients of , or of the deflated function if deflate is nonzero. Euler–Maclaurin summation is used (after the reflection formula when , or at precision below 128 bits; for larger negative it is cheaper and loses fewer bits to sum directly at , with guard bits proportional to ), the Riemann–Siegel formula for len high on the critical line, or, for an exact rational number of small height (including integers) at very high precision, the approximate functional equation (acb_dirichlet_l_fmpq_afe_jet), whose cost is instead of and which needs far less memory.
Guides#
- Taylor series of complex functions (
acb_poly)
The FLINT team, “acb_dirichlet_zeta_jet (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_zeta_jet.html (generated 2026-11-02).
@misc{flint-doc-acb-dirichlet-acb-dirichlet-zeta-jet,
author = {{The FLINT team}},
title = {{acb\_dirichlet\_zeta\_jet (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_zeta_jet.html},
note = {Generated 2026-11-02}
}