Estimates on the number of rational solutions of Markoff-Hurwitz equations over finite fields

Miriam Abdon, Daniela Alves de Oliveira, Juliane Capaverde +2

Let $N$ denote the number of solutions to the generalized Markoff-Hurwitz-type equation \[(a_1X_1^m+\cdots + a_nX_n^m+a)^k=bX_1\cdots X_n \] over the finite field ${\mathbb{F}}_q$, w…