OFFSET
1,2
REFERENCES
E. C. Titchmarsh, The Theory of the Riemann Zeta-Function, second revised (Heath-Brown) edition, Oxford University Press, 1986. See equation 1.2.8 at p. 5.
LINKS
Michael I. Shamos, A catalog of the real numbers, (2007). See pp. 408-409.
FORMULA
Equals zeta(3)^2/zeta(6) = Sum_{k>=1} 2^omega(k)/k^3. See Titchmarsh and Shamos.
Equals 945*zeta(3)^2/Pi^6.
EXAMPLE
1.420308303489193353248184427065490...
MATHEMATICA
RealDigits[Zeta[3]^2/Zeta[6], 10, 100][[1]]
PROG
(PARI) prodeulerrat((p^3 + 1)/(p^3 - 1))
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Oct 03 2024
STATUS
approved