The number of solutions of certain equations over a finite field

DOI10.1016/j.ffa.2004.06.004zbMath1153.11309OpenAlexW1972812497MaRDI QIDQ1779325

Qi Sun, Wensong Wang

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2004.06.004

zbMATH Keywords

finite fieldscharacter sumsolutions of equation

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Congruences in many variables (11D79)

Related Items (5)

On the number of rational points of certain algebraic varieties over finite fields ⋮ Counting rational points of an algebraic variety over finite fields ⋮ A SPECIAL DEGREE REDUCTION OF POLYNOMIALS OVER FINITE FIELDS WITH APPLICATIONS ⋮ Smith normal form of augmented degree matrix and its applications ⋮ The number of rational points of a family of hypersurfaces over finite fields

Cites Work

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• Representations by bilinear forms in a finite field
• Equations et variétés algébriques sur un corps fini
• Zeros of Diagonal Equations over Finite Fields
• Zeroes of Polynomials Over Finite Fields
• Characters over Certain Types of Rings with Applications to the Theory of Equations in a Finite Field
• Numbers of solutions of equations in finite fields
• Congruence Representations in Algebraic Number Fields
• Pairs of Quadratic Equations in a Finite Field
• On diagonal equations over finite fields

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