Sums of Triple Harmonic Series Original Research Article

For positive integersa,b,cwithagreater-or-equal, slanted2, letA(a, b, c) denote the triple harmonic series[formula]We show that the sum of theA(a, b, c) witha+b+c=nisζ(n)=∑igreater-or-equal, slanted1 1/in. A similar identity for double harmonic series goes back to Euler