ABSTRACT
Waring’s Second Theorem Let N , p, q, n, and d be as in Waring’s Theorem. If N > 0 then N ≥ qn−d . See Waring’s Theorem.
Waring’s Theorem Let K be a field of characteristic p consisting of q elements. Let f1, . . . , fm be polynomials in n variables with coefficients in K of degrees d1, . . . , dm, respectively, and suppose that d = d1 + · · · + dm < n. If N is the number of common zeros of f1, . . . , fm, then N ≡ 0 (mod p). See also Waring’s Second Theorem.
