OFFSET
0,1
COMMENTS
Sum_{k>=1} sin(Pi*log k)/k^2 = 0.0942944615085... is the associated imaginary part.
LINKS
Math StackExchange, Closed form for sum n>=1 cos(pi*log(n)/n^2, (2013).
FORMULA
Equals Re(zeta(2 + Pi*i)), where i=sqrt(-1).
EXAMPLE
0.795640206735677517430628328498...
MAPLE
Re(Zeta(2+I*Pi)) ;
evalf(%) ;
MATHEMATICA
RealDigits[Re[Zeta[2 + Pi*I]], 10, 105][[1]] (* Amiram Eldar, Jun 16 2023 *)
PROG
(PARI) real(zeta(2+I*Pi)) \\ Michel Marcus, Jun 15 2023
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Jun 15 2023
STATUS
approved