Counting points on diagonal equations over Galois rings \(GR (p^2,2n)\)

DOI10.1016/j.ffa.2022.102130OpenAlexW4307646827MaRDI QIDQ2101191

Haiyan Zhou, Jia-Ming Wang

Publication date: 28 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102130

zbMATH Keywords

exponential sumsfinite fieldsGalois ringsdiagonal equations

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Diophantine equations in many variables (11D72)

Cites Work

• The number of solutions of certain diagonal equations over finite fields
• Counting points on diagonal equations over Galois rings \(\mathrm{GR}(p^2,p^{2r})\)
• Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2
• The Gauss sums and Jacobi sums over Galois ring \(\mathrm{GR}(p^2,r)\)
• On diagonal equations over finite fields
• Unnamed Item

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