Chevalley–Warning theorem

id: chevalley-warning-theorem-313-12657370
title: Chevalley–Warning theorem
text: In number theory, 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 (1935) and a slightly weaker form of the theorem, known as Chevalley's theorem, was proved by Chevalley (1935). Chevalley's theorem implied Artin's and Dickson's conjecture that finite fields are quasi-algebraically closed fields.
brand slug: wiki
category slug: encyclopedia
description: Certain polynomial equations in enough variables over a finite field have solutions
original url: https://en.wikipedia.org/wiki/Chevalley%E2%80%93Warning_theorem
date created:
date modified: 2024-04-25T14:15:09Z
main entity: {"identifier":"Q720469","url":"https://www.wikidata.org/entity/Q720469"}
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fields total: 13
integrity: 14

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