I recently learned from mathematician Mikael Passare a nice way to see Zeta(2), as long as you accept two ways to express sin(x) / x: sin(x) / x = Sum{k=0..oo} (-1)^k x^(2k) / (2k+1)! and sin(x) / x = Prod{n=1..oo} (1 - x^2/(n pi)^2). The value of Zeta(2) then falls out immediately by equating coefficients of x^2. It soon became clear that equating coefficients of higher terms will, with a minor trick or two thrown in, reveal the sum for any Zeta(E) for E in 2Z+. (At least this also works for Zeta(4) and Zeta(6).) Along the way a few other interesting sums fall out. --Dan STAIRLIKE / TRISKELIA _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele