A Note on the Chevalley--Warning Theorems

D. R. Heath-Brown

Let $f_1,\dot{.}.,f_r$ be polynomials in $n$ variables over a finite field $F$ of cardinality $q$ and characteristic $p$. Let $f_i$ have total degree $d_i$ and define $d=d_1+\dot{.}.+d_r$.…