OFFSET
1,1
COMMENTS
Zeta[s,a] is Mathematica's notation for the shifted Zeta-function Sum_{n>=1} 1/(n-a)^s. - R. J. Mathar, Jun 17 2016
FORMULA
Equals Zeta[2,1/3] - 2(Pi^2)/3 = 2(Pi^2)/3 - Zeta[2,2/3].
EXAMPLE
3.5158608...
MAPLE
Zeta(0, 2, 1/3)-2*Pi^2/3 ; evalf(%) ; # R. J. Mathar, Jun 17 2016
MATHEMATICA
RealDigits[N[(Zeta[2, 1/3] - Zeta[2, 2/3])/2, 300]]
PROG
(PARI) zetahurwitz(2, 1/3)-2*Pi^2/3 \\ Charles R Greathouse IV, Jan 31 2018
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Artur Jasinski, Mar 03 2010
EXTENSIONS
Definition revised by N. J. A. Sloane, Aug 30 2011
STATUS
approved