The hybrid power mean of the quartic Gauss sums and the two-term exponential sums

DOI10.1186/s13662-018-1658-zzbMath1446.11150OpenAlexW2876959735WikidataQ115518844 ScholiaQ115518844MaRDI QIDQ1712439

Xiaoxue Li

Publication date: 22 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1658-z

zbMATH Keywords

two-term exponential sumsanalytic methodquartic Gauss sumshybrid power mean

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (2)

A four-order linear recurrence formula involving the quartic Gauss sums and one kind two-term exponential sums ⋮ One-kind hybrid power means of the two-term exponential sums and quartic Gauss sums

Cites Work

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• The hybrid power mean of quartic Gauss sums and Kloosterman sums
• Using Stepanov's method for exponential sums involving rational functions
• On the quartic Gauss sums and their recurrence property
• On the general Gauss sums and their fourth power mean
• On the fourth-order linear recurrence formula related to classical Gauss sums
• Exponential sums modulo prime powers
• A hybrid mean value involving two-term exponential sums and polynomial character sums
• On the sixth power mean of the two-term exponential sums

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