OFFSET
0,1
REFERENCES
Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 5.5. Kalmár’s Composition Constant, p. 293.
LINKS
Steven R. Finch, Errata and Addenda to Mathematical Constants, p. 37.
FORMULA
c_v = (-1/zeta'(rho))*(zeta''(rho)/zeta'(rho]^2 - 1), where rho = 1.728647... is A107311, the real solution to zeta(rho) = 2.
EXAMPLE
0.308403444608077001633607726174587986672094960536886...
MATHEMATICA
digits = 102; rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> digits+5]; cv = (-1/Zeta'[rho])*(Zeta''[rho]/Zeta'[rho]^2 - 1); RealDigits[cv, 10, digits] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Sep 22 2014
STATUS
approved