_arb_poly_riemann_siegel_theta_series, arb_poly_riemann_siegel_theta_series
Synopsis
#include <flint/arb_poly.h>void _arb_poly_riemann_siegel_theta_series(arb_ptr res, arb_srcptr h, slong hlen, slong n, slong prec)sourcevoid arb_poly_riemann_siegel_theta_series(arb_poly_t res, const arb_poly_t h, slong n, slong prec)sourceSet res to the Riemann–Siegel theta function
\theta(h) = \arg \Gamma\!\left(\frac{2ih + 1}{4}\right) - \frac{\log \pi}{2} h
of the power series h, truncated to length n, where the argument of the gamma function is the imaginary part of \log \Gamma (continuous in h). The underscore version does not allow aliasing.
Cite this page
The FLINT team, “_arb_poly_riemann_siegel_theta_series, arb_poly_riemann_siegel_theta_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_theta_series.html (generated 2026-10-20).
@misc{flint-doc-arb-poly-arb-poly-riemann-siegel-theta-series,
author = {{The FLINT team}},
title = {{\_arb\_poly\_riemann\_siegel\_theta\_series, arb\_poly\_riemann\_siegel\_theta\_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_theta_series.html},
note = {Generated 2026-10-20}
}