The Solutions' Number of Quadratic Equations with n Variables over a Finite Field
Yan Lin · Journal of Jiangxi Normal University · 2005
Let p be an odd prime,F_p be the finite field with p elements, and natural number n1.By rank r of equations, quadratic equations with n variables over F_p is assorted. If r=1,there are solutions for quadratic equations with n variables over F_p besides (p-1)/2 equations. If r1,there are solutions for quadratic equations with n variables over F_p. The numbers of solutions of quadratic equations with n variables over F_p have been given for every class equation.