`acb_dirichlet_xi`

Synopsis#include <flint/acb_dirichlet.h>

void acb_dirichlet_xi(acb_t res, const acb_t s, slong prec)source

Sets res to the Riemann xi function \xi(s) = \frac{1}{2} s (s-1) \pi^{-s/2} \Gamma(\tfrac{s}{2}) \zeta(s), which satisfies \xi(1-s) = \xi(s).

Cite this page

The FLINT team, “acb_dirichlet_xi (acb_dirichlet.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_dirichlet/acb_dirichlet_xi.html (generated 2026-10-20).

@misc{flint-doc-acb-dirichlet-acb-dirichlet-xi,
  author       = {{The FLINT team}},
  title        = {{acb\_dirichlet\_xi (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_xi.html},
  note         = {Generated 2026-10-20}
}

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