A certain new Gauss sum and its fourth power mean

DOI10.3934/math.2020321zbMath1484.11171OpenAlexW3035627249MaRDI QIDQ2129873

Yan Zhao, Xing Xing Lv, Wen Peng Zhang

Publication date: 25 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020321

zbMATH Keywords

congruence equationthe fourth power meancalculating formulacertain generalized quadratic Gauss sums

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• A note on the fourth power mean of the generalized Kloosterman sums
• The fourth and sixth power mean of the classical Kloosterman sums
• On the fourth power mean of the generalized quadratic Gauss sums
• The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates
• A new hybrid power mean involving the generalized quadratic Gauss sums and sums analogous to Kloosterman sums
• A hybrid mean value involving two-term exponential sums and polynomial character sums
• On the power mean of a sum analogous to the Kloosterman sum
• On Some Exponential Sums
• On the fourth power mean of the general Kloosterman sums
• On the fourth power mean of the general Kloosterman sums
• Moments of generalized quadratic Gauss sums weighted by \(L\)-functions

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