gives the Riemann prime counting function .
- Mathematical function, suitable for both symbolic and numerical manipulation.
- For , the Riemann prime counting function is given by .
- RiemannR[z] has a branch cut discontinuity in the complex z plane running from to .
- RiemannR can be evaluated to arbitrary numerical precision.
- RiemannR automatically threads over lists.
Examplesopen allclose all
The behavior of RiemannR near the origin:
Introduced in 2008