OFFSET
1,1
LINKS
J. Arias de Reyna, J. van de Lune, Some bounds and limits in the theory of Riemann's zeta function. arXiv:1107.5134 [math.NT]
Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 28.
FORMULA
The unique solution y > 1 of the equation zeta'(y)/zeta(y) = -2^(y + 1)*log(2)/(4^y - 1).
EXAMPLE
2.81301402025289836752725540121668696384614056054026221526643874...
MATHEMATICA
y /. FindRoot[Zeta'[y]/Zeta[y] == -2^(y + 1)*Log[2]/(4^y - 1), {y, 2}, WorkingPrecision -> 100] // RealDigits // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Aug 14 2014
STATUS
approved