Smith Normal Form of Augmented Degree Matrix and Rational Points on Toric Hypersurface

DOI10.1142/S1005386713000291zbMath1310.11116OpenAlexW1983775550MaRDI QIDQ4923906

Wei Cao, Jianming Chen

Publication date: 27 May 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000291

zbMATH Keywords

finite fieldexponential sumpolynomialSmith normal formaugmented degree matrix

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Other character sums and Gauss sums (11T24) Linear Diophantine equations (11D04) Matrices of integers (15B36)

Cites Work

• Smith normal form of augmented degree matrix and its applications
• Modular counting of rational points over finite fields
• On the computation of elementary divisors of integer matrices
• Computing Hermite and Smith normal forms of triangular integer matrices
• A Short Proof to Some Results of Sun and Wang
• On a class of equations with special degrees over finite fields

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