TITLE: Proofs of the Chevalley-Warning Theorem
QUESTION [17 upvotes]: A well known proof of the Chevally-Warning Theorem is the one listed on wikipedia: http://en.wikipedia.org/wiki/Chevalley%E2%80%93Warning_theorem
Are there any other proofs of this, or generalizations of it?

REPLY [2 votes]: It is worth to mention that in his original paper, E. Warning also finds a lower bound for the number of solutions:

Apart from the references provided in other answers here, an excellent survey about Chevalley-Warning theorem, its history and applications and related problems about solving polynomial equations over finite fields, written by Jean-René Joly, is accessible from
Équations et variétés algébriques sur un corps fini (L'Enseignement Mathématique (1973))