On the Chevalley-Warning Theorem When the Degree Equals the Number of Variables
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Date
2022
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Abstract
Let f be a degree d polynomial in n variables defined over a finite field k of characteristic p and let N be the number of zeros of f in k(n). The Chevalley-Warning theorem asserts that if d, then N is divisible by p. In this note we show a version of the result for d = n.
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11T06, 500000000000000, 11G25