Talk:Chevalley–Warning theorem
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Other theorems
[edit]Are there other theorems that state other situations where there must be a rational point, even if we don't satisfy the hypothesis of Chevalley-Warning? —Preceding unsigned comment added by Juryu (talk • contribs) 2006-02-23T01:21:32
Chevalley–Warning
[edit]There is something wrong in this article. Chevalley's theorem holds for systems of polynomials too. Warning's theorem states that the number of zeros is divisible by p. David Brink (talk) 10:56, 28 June 2008 (UTC)
I have now corrected this and added a paragraph on the historical background. David Brink (talk) 13:29, 14 July 2008 (UTC)
Proof clarification
[edit]q is not defined in the proof, I take it to be the field cardinality but it should be said. It should also probably be mentioned that i must be a positive integer.
The sum of powers of field elements is zero is a vacuous proposition for q=2. So how do we conclude the annihilation of polynomials of low degree in this case? — Preceding unsigned comment added by 2600:1009:B146:96C5:14FA:FAFA:E01:1FA4 (talk) 20:21, 20 October 2017 (UTC)