OFFSET
0,1
COMMENTS
Also zetamult(2, 2, 1). - Charles R Greathouse IV, Jan 04 2017
LINKS
Dominique Manchon, Arborified multiple zeta values, arXiv:1603.01498 [math.CO], 2016.
Eric Weisstein's MathWorld, Multivariate Zeta Function
Wikipedia, Multiple zeta function
FORMULA
zetamult(3,2) = Sum_{m>=2} (Sum_{n=1..m-1} 1/(m^3*n^2)) = 3*zeta(2)*zeta(3) - (11/2)*zeta(5).
EXAMPLE
0.2288103976033537597687461489416887919325093427198821602294071...
MATHEMATICA
RealDigits[3*Zeta[2]*Zeta[3] - (11/2)*Zeta[5], 10, 104] // First
PROG
(PARI) zetamult([3, 2]) \\ Charles R Greathouse IV, Jan 21 2016
(PARI) zetamult([2, 2, 1]) \\ Charles R Greathouse IV, Jan 04 2017
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Jun 16 2015
STATUS
approved