Zeros of Diagonal Equations over Finite Fields
Zeros of Diagonal Equations over Finite Fields
Let N be the number of solutions (xi, ■ ■ ■ ,xn) of the equation (1) CiZj1 + C2I22 "I-+ CnXnn = C over the finite field Fq, where d,|(g -1), c¡ e F* (»si,... ,n), and c S Fq.If 11 1 dl ¿2 dn for some positive integer b, …