Riemann's Zeta Function - another approach (RPL)

[Gerson W. Barbosa]

(07-17-2017 04:21 PM)Dieter Wrote:  

(07-16-2017 09:37 PM)Gerson W. Barbosa Wrote:  Still not perfect, but at least less imperfect than the previous ones:

Hmmm... the results I got look a bit less precise than your previous approximation.
?!?

Yes, but I wasn't able to get more consistent terms from that model. This appears to be more promising. But I'll look into that later.


√(0.5000000000000000000000000000000000/(ζ(2)*1/2-∑(n=0,9999,(-1)^n/(n+1)^2)))

(0.5000000000000000000000000000000000/(ζ(3)*3/4-∑(n=0,9999,(-1)^n/(n+1)^3)))^(1/3)

(0.5000000000000000000000000000000000/(ζ(4)*7/8-∑(n=0,9999,(-1)^n/(n+1)^4)))^(1/4)

These have been evaluated on W|A. More places and more terms might help.

Gerson.