Equidistribution of Solutions of Ternary Quadratic Congruences Modulo Prime Powers

Anup Haldar

Let $p$ be a fixed odd prime and $Q(x,y,z)=a{x}^2+bxy+c{y}^2+dxz+eyz+f{z}^2$ be a fixed quadratic form in $\mathbb{Z}[x,y,z]$ which is non-degenerate in ${\mathbb{F}}_p[x,y,z]$ and $(a(4ac…