Powers of polynomials and bounds of value sets

DOI10.1016/j.jnt.2014.04.009zbMath1356.11086OpenAlexW1990310672MaRDI QIDQ740389

Haixia Zan, Wei Cao

Publication date: 2 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.009

zbMATH Keywords

Newton polytopevalue setdegree matrix\(p\)-adic lifting

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (3)

A refinement of multivariate value set bounds ⋮ Chevalley-Warning at the boundary ⋮ A generalization of the theorems of Chevalley-Warning and Ax-Katz via polynomial substitutions

Cites Work

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• Polytope bounds on multivariate value sets
• Dilation of Newton polytope and \(p\)-adic estimate
• Smith normal form of augmented degree matrix and its applications
• Degree matrices and divisibility of exponential sums over finite fields
• A new criterion for permutation polynomials
• VALUE SETS OF POLYNOMIAL MAPS OVER FINITE FIELDS
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• Value Sets of Polynomials Over Finite Fields
• On a class of equations with special degrees over finite fields

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