OFFSET
0,2
COMMENTS
Start from any complex number z=x+iy, not solution to zeta(z)=z, iterate the zeta function on z. If zeta_m(z) (=zeta(zeta(....(z)..)) m times) has a limit when m grows, then this limit seems to always be the real number : C=-0.2959050055752....Example: if z=3+5I after 30 iterations : zeta_30(z)=-0.29590556499...-0.00000041029065...*I
PROG
(PARI) \p150 contfrac(abs(solve(X=-1, 0, zeta(X)-X)))
CROSSREFS
KEYWORD
base,cofr,easy,nonn
AUTHOR
Benoit Cloitre, Jun 19 2002
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 06 2024
STATUS
approved