Degree matrices and divisibility of exponential sums over finite fields

DOI10.1007/s00013-010-0114-4zbMath1217.11118OpenAlexW1970948962MaRDI QIDQ974646

Jianming Chen, Wei Cao

Publication date: 4 June 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0114-4

zbMATH Keywords

finite fieldNewton polyhedronexponential sumpolynomialStickelberger theoremdegree matrix

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Exponential sums (11T23) Congruences in many variables (11D79)

Related Items (7)

A refinement of multivariate value set bounds ⋮ Divisibility on point counting over finite Witt rings ⋮ Zeros of polynomials over finite Witt rings ⋮ Exponential sums over finite fields ⋮ \(p\)-adic valuation of exponential sums associated to trinomials and some consequences ⋮ Powers of polynomials and bounds of value sets ⋮ DEGREE MATRICES AND ESTIMATES FOR EXPONENTIAL SUMS OF POLYNOMIALS OVER FINITE FIELDS

Cites Work

• Unnamed Item
• Modular counting of rational points over finite fields
• Démonstration d'une hypothèse de M. Artin
• Point count divisibility for algebraic sets over ℤ/𝕡^{ℓ}ℤ and other finite principal rings
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• Zeros of Polynomials over Finite Principal Ideal Rings
• On a class of equations with special degrees over finite fields
• On a Theorem of Ax
• Zeroes of Polynomials Over Finite Fields

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