The number of rational points of certain quartic diagonal hypersurfaces over finite fields

DOI10.3934/math.2020175zbMath1484.11220OpenAlexW3011094743MaRDI QIDQ2132998

Junyong Zhao, Chaoxi Zhu, Shao-Fang Hong

Publication date: 28 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020175

zbMATH Keywords

Gauss sumfinite fieldrational pointdiagonal hypersurfaceJacobi sum

Mathematics Subject Classification ID

Exponential sums (11T23) Other character sums and Gauss sums (11T24) Trigonometric and exponential sums (general theory) (11L03)

Related Items (2)

On the number of solutions of two-variable diagonal quartic equations over finite fields ⋮ The recurrence formula for the number of solutions of a equation in finite field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The number of solutions of certain diagonal equations over finite fields
• Equations over finite fields. An elementary approach
• The number of rational points of a family of hypersurfaces over finite fields
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• Period polynomials and Gauss sums for finite fields
• The Number of Rational Points of a Family of Algebraic Varieties over Finite Fields
• Remarks on the Number of Rational Points on a Class of Hypersurfaces over Finite Fields
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• On the pure Jacobi sums
• A SPECIAL DEGREE REDUCTION OF POLYNOMIALS OVER FINITE FIELDS WITH APPLICATIONS
• On a class of equations with special degrees over finite fields
• Zeroes of Polynomials Over Finite Fields
• On Some Exponential Sums
• On the number of zeros of diagonal cubic forms
• On the number of zeros of diagonal cubic forms

This page was built for publication: The number of rational points of certain quartic diagonal hypersurfaces over finite fields