Chevalley–Warning theorem

In algebra, the Chevalley–Warning theorem implies that certain polynomial equations in sufficiently many variables over a finite field have solutions. It was proved by Ewald Warning () and a slightly weaker form of the theorem, known as Chevalley's theorem, was proved by Chevalley (). Chevalley's theorem implied Artin's and Dickson's conjecture that finite fields are quasi-algebraically closed fields (, page x).

Chevalley–Warning theorem

In algebra, the Chevalley–Warning theorem implies that certain polynomial equations in sufficiently many variables over a finite field have solutions. It was proved by Ewald Warning () and a slightly weaker form of the theorem, known as Chevalley's theorem, was proved by Chevalley (). Chevalley's theorem implied Artin's and Dickson's conjecture that finite fields are quasi-algebraically closed fields (, page x).