For f and g polynomials in p variables, we relate the special value at a non-positive integer s = -N, obtained by analytic continuation of the Dirichlet series ζ(s;f, g) = ∑ k1 = 0 ∞⋯∑ kp = 0 ∞g(k 1,⋯,k p)f(k 1,⋯,k p) -s ...