FLINT3.7.0-dev

RiemannZeta, RiemannZetaZero, RiemannXi, RiemannHypothesis

Synopsis#include <flint/fexpr_builtin.h>
RiemannZeta
RiemannZetaZero
RiemannXi
RiemannHypothesis

The Riemann zeta function RiemannZeta(s) (ζ(s)\zeta(s)) and its derivatives RiemannZeta(s, r) (ζ(r) ⁣(s){\zeta}^{(r)}\!\left(s\right)), its nn-th nontrivial zero in the upper half-plane RiemannZetaZero(n) (ρn\rho_{n}), the Riemann xi function RiemannXi(s) (ξ(s)\xi(s)), and the proposition RiemannHypothesis (RH⁡\operatorname{RH}).

Cite this page

The FLINT team, “RiemannZeta, RiemannZetaZero, RiemannXi, RiemannHypothesis (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/RiemannZeta.html (generated 2026-11-02).