I'm struggling to prove Chevalley–Warning theorem, i.e. only the part which shows that
the number of common solutions ${\displaystyle (a_{1},\dots ,a_{n})\in \mathbb {F} ^{n}}$ is divisible by the characteristic ${\displaystyle p}$ of ${\displaystyle \mathbb {F} }$. Or in other words, the cardinality of the vanishing set of ${\displaystyle \{f_{j}\}_{j=1}^{r}}$ is ${\displaystyle 0}$ modulo ${\displaystyle p}$.
I'm looking for some reference to guide me, in English. The only source I found is the original Chevalley's paper "Démonstration d'une hypothèse de M. Artin" (1935), in French.
Best regards