Simultaneous solutions to diagonal equations over finite fields

DOI10.1016/0022-314X(79)90024-6zbMath0408.12018OpenAlexW2061991690MaRDI QIDQ1258337

Kenneth W. Spackman

Publication date: 1979

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(79)90024-6

zbMATH Keywords

Character SumsEstimate Number of Simultaneous SolutionsWeil Conjectures

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Estimates on character sums (11L40) Arithmetic theory of polynomial rings over finite fields (11T55) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items (4)

On the number of solutions of certain diagonal equations over finite fields ⋮ Simultaneous solutions to diagonal equations over finite fields ⋮ Linearly recurring solution sequences for equations over finite fields ⋮ On the number of solutions of systems of certain diagonal equations over finite fields

Cites Work

• Equations over finite fields. An elementary approach
• Simultaneous solutions to diagonal equations over finite fields
• La conjecture de Weil. I
• On the Rationality of the Zeta Function of an Algebraic Variety
• Numbers of solutions of equations in finite fields

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