where "ζ" is the Hurwitz zeta function. For Re("s") > 1, where Li"s"(1) is finite, the relation also holds with "m" = 0 or "m" = "p". While this formula is not as simple as that implied by the more general relation with the Hurwitz zeta function listed under relationship to other functions below, it has the advantage of applying to non-negative integer values of "s" as well. As usual, the relation may be inverted to express ζ("s", "m"⁄"p") for any "m" = 1, ..., "p" as a Fourier sum of Li"s"(exp(2"πi" "k"⁄"p")) over "k" = 1, ..., "p".