_arb_poly_riemann_siegel_z_series, arb_poly_riemann_siegel_z_series
Synopsis
#include <flint/arb_poly.h>void _arb_poly_riemann_siegel_z_series(arb_ptr res, arb_srcptr h, slong hlen, slong n, slong prec)sourcevoid arb_poly_riemann_siegel_z_series(arb_poly_t res, const arb_poly_t h, slong n, slong prec)sourceSet res to the Riemann–Siegel function Z(h) = e^{i\theta(h)} \zeta(1/2 + ih) of the power series h, truncated to length n. The real zeros of Z are the ordinates of the zeros of \zeta on the critical line. The underscore version allows aliasing.
Cite this page
The FLINT team, “_arb_poly_riemann_siegel_z_series, arb_poly_riemann_siegel_z_series (arb_poly.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb_poly/_arb_poly_riemann_siegel_z_series.html (generated 2026-10-20).
@misc{flint-doc-arb-poly-arb-poly-riemann-siegel-z-series,
author = {{The FLINT team}},
title = {{\_arb\_poly\_riemann\_siegel\_z\_series, arb\_poly\_riemann\_siegel\_z\_series (arb\_poly.h)}},
howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
year = {2026},
url = {https://flintlib.org/doc/arb_poly/_arb_poly_riemann_siegel_z_series.html},
note = {Generated 2026-10-20}
}