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20152022
most citedA generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions

4 citations · 5 across the 2 of their papers we have counts for

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math.NT2022★ 1 cited

Restricted Variable Chevalley-Warning Theorems

Anurag Bishnoi, Pete L. Clark

We pursue various restricted variable generalizations of the Chevalley-Warning theorem for low degree polynomial systems over a finite field. Our first such result involves variabl…

math.NT2017★ 4 cited

A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions

Ioulia N. Baoulina, Anurag Bishnoi, Pete L. Clark

We give conditions under which the number of solutions of a system of polynomial equations over a finite field F_q of characteristic p is divisible by p. Our setup involves the sub…