Riemann's Zeta Function - another approach (RPL)

[Dieter]

(07-29-2017 03:37 PM)Gerson W. Barbosa Wrote:  "ZETA" in lines 04 and 16 is your program above. "GAM+1" in line 22 is your program here.

Ah yes, the Gamma thread. There were some more promising approaches with even better accuracy than GAM+1. ;-)

BTW, I see your program has a RCL 00 in line 24. For x≤2 the ZETA routine leaves x in R00, but for x>2 R00 finally holds –x. Have you considered this?
Anyway, since the results look fine for smaller and larger negative x the program must be working fine. ;-)

BTW2, on 10-digit calculators 2 pi does not round very well, the last digit is 1 unit high. So I suggest to replace step 09/10 in your program with 360 D–R which returns the correct value 6,283185307. The same is true for pi/4 or pi/6 where 45 resp. 30 D–R yields ten correct digits.

Dieter