acb_dirichlet_zeta_jet
Synopsis
#include <flint/acb_dirichlet.h>Sets res (a vector of length len) to the Taylor coefficients of \zeta(s + x), or of the deflated function \zeta(s + x) - 1/(s + x - 1) if deflate is nonzero. Euler–Maclaurin summation is used (with the reflection formula for \operatorname{Re}(s) < 0), or the Riemann–Siegel formula for len \le 2 high on the critical line.
Guides#
- Taylor series of complex functions (
acb_poly)
Cite this page
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 2026-10-20).
@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 2026-10-20}
}