OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Trilogarithm
FORMULA
int_{0..1} Li_3(x) dx = 1 - zeta(2) + zeta(3) = 1 - Pi^2/6 + zeta(3).
Compare with the same integral of the dilogarithm:
int_{0..1} Li_2(x) dx = zeta(2) - 1 = Pi^2/6 - 1 = 0.644934...
EXAMPLE
0.5571228363113678489273229948654248015460363911337...
MATHEMATICA
RealDigits[1 - Zeta[2] + Zeta[3], 10, 102] // First
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Nov 03 2014
STATUS
approved