A refinement of multivariate value set bounds

DOI10.1016/j.ffa.2015.11.002zbMath1356.11084arXiv1507.04085OpenAlexW2200794377MaRDI QIDQ2634387

Yanyan Li

Publication date: 9 February 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04085

zbMATH Keywords

multivariate polynomialsNewton polytopesvalue set\(p\)-adic liftingspolynomial image set

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 (1)

Chevalley-Warning at the boundary

Cites Work

• Unnamed Item
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• Polynomial maps on vector spaces over a finite field
• Dilation of Newton polytope and \(p\)-adic estimate
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• Degree matrices and divisibility of exponential sums over finite fields
• A new criterion for permutation polynomials
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• 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
• Lectures on zeta functions over finite fields
• On a class of equations with special degrees over finite fields

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