An improvement to Chevalley's theorem with restricted variables

DOI10.1016/j.ffa.2019.04.005zbMath1479.11205OpenAlexW2945421433MaRDI QIDQ2422198

Luis A. Medina, Oscar E. González, Francis N. Castro

Publication date: 18 June 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.04.005

zbMATH Keywords

Chevalley's theoremsolvability of systems of polynomials over finite fields

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Solving polynomial systems; resultants (13P15)

Related Items

Chevalley-Warning type results on abelian groups

Cites Work

• Chevalley's theorem with restricted variables
• Improvement to Moreno-Moreno's theorems
• Algebraically solvable problems: describing polynomials as equivalent to explicit solutions
• Bemerkung zur vorstehenden Arbeit von Herrn Chevalley
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• 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