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

DOI10.1090/proc/14181zbMath1472.11294arXiv1709.05699OpenAlexW2783965626MaRDI QIDQ5232912

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

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05699

zbMATH Keywords

finite fieldnumber of solutionssystem of polynomial equationshigher \(p\)-adic divisibilities

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Congruences in many variables (11D79) Varieties over finite and local fields (11G25)

Related Items (3)

Chevalley-Warning at the boundary ⋮ Divisibility on point counting over finite Witt rings ⋮ Zeros of polynomials over finite Witt rings

Cites Work

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• A new criterion for permutation polynomials
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• Value Sets of Polynomials Over Finite Fields
• A Chevalley-Warning Approach To p-Adic Estimates of Character Sums
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• Tight bounds for Chevalley–Warning–Ax–Katz type estimates, with improved applications
• On a Theorem of Ax
• Zeroes of Polynomials Over Finite Fields

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