OFFSET
1,2
COMMENTS
Fixed point of Riemann zeta function. - Michal Paulovic, Dec 31 2017
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..10000
David Rainford, Riemann zeta function: iteration of ΞΆ and the significance of the value 1.83377..., Prime Patterns, 2015.
David Rainford, Hurwitz zeta function: iteration fractal example near a threshold, Prime Patterns, 2019. [observed effects of tangent to fixed-point curve]
EXAMPLE
1.83377265168027139624564858944152359218097851880099333719403756009807267200...
MATHEMATICA
RealDigits[ FindRoot[ Zeta[x] == x, {x, 2}, WorkingPrecision -> 2^7, AccuracyGoal -> 2^8, PrecisionGoal -> 2^7][[1, 2]], 10, 111][[1]] (* Robert G. Wilson v, Jan 07 2018 *)
PROG
(PARI) solve(x=1.5, 2, zeta(x)-x) \\ Michal Paulovic, Dec 31 2017
(Sage) (zeta(x)==x).find_root(1, 2, x) # G. C. Greubel, Apr 01 2019
CROSSREFS
KEYWORD
AUTHOR
Benoit Cloitre, May 01 2002
EXTENSIONS
Corrected and extended by Michal Paulovic, Dec 31 2017
STATUS
approved