Counting points on diagonal equations over Galois rings \(\mathrm{GR}(p^2,p^{2r})\)

DOI10.1016/j.ffa.2018.12.005zbMath1411.11130OpenAlexW2910019824WikidataQ128632391 ScholiaQ128632391MaRDI QIDQ1734676

Yao Sun, Haiyan Zhou

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.12.005

zbMATH Keywords

finite fieldsGauss sumsGalois ringsdiagonal equationsJacobi sums

Mathematics Subject Classification ID

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

Related Items

Subset sums over Galois rings. II, On diagonal equations over finite fields, Subset sums over Galois rings, Counting points on diagonal equations over Galois rings \(GR (p^2,2n)\)

Cites Work

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• An asymptotic formula for counting subset sums over subgroups of finite fields
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• On the Solvability of the Equation ∑ n i = 1 x i /d i ≡0 (mod 1) and its Application
• On the Diophantine Equation ∑ n i = 1 x i /d i ≡0 (mod 1)