To this day for special m and small |c|, solvable, c are obtained about general equations x^2-my^2=c with positive squarefree integer m and integer c by Ankeny, Mollin et al. Afterwards, Zhang in ref. [1] greatly deve...
Let Fq be a finite field with q elements, where q is a power of a prime, and let AG (n, Fq )be the n-dimensional aftine space over Fq. The set of points (x1, x2
In this letter we assume that F_q is a finite field with q elements, where q is a power of 2. Let N={x^2+x|x∈F_q} and choose a fixed element α of F_q not belonging to N. Theorem 1. Under affine transformations any q...