Forms of low degree in finite fields

DOI10.1017/S0004972700001702zbMath0543.12014MaRDI QIDQ3331302

Morris Orzech

Publication date: 1984

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nontrivial solutiondiagonal formsequations over finite fieldsdegree four and five

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Polynomials over finite fields (11T06) Finite ground fields in algebraic geometry (14G15) Higher degree equations; Fermat's equation (11D41)

Related Items

Round forms of higher degree ⋮ \(u\)-invariants for forms of higher degree ⋮ Diagonal forms of higher degree over function fields of p-adic curves

Cites Work

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• Cubic congruences
• Diagonal forms of odd degree over a finite field
• Equations over finite fields. An elementary approach
• Sums of Powers in Large 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