Riemann's Zeta Function - another approach (RPL)

[Gerson W. Barbosa]

(08-01-2017 11:46 AM)Dieter Wrote:  BTW, I am now testing a Free42 version, essentially your code but with a new approximation for 0,5...1. The only problem is x=0 as the reflection formula would cause an attempt at calculating Zeta(1).

This is the formula I used in the previous program, but then only when x<0:

\[\zeta(x)=2\cdot\left ( 2\pi \right )^{-(1-x)}\cdot \cos\left ( (1-x) \sin^{-1}(1)\right )\cdot \Gamma (1-x)\cdot \zeta (1-x)\]


I remember I had to hard-code Zeta(0) = -1/2 here (line 116).

Gerson.