A certain two-term exponential sum and its fourth power means

The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula for it.

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 6; pp. 7500 - 7509
Main Authors Jin, Zhang, Wenpeng, Zhang
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
calculating formula
elementary method
the fourth power mean
the two-term exponential sums
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Summary:The main purpose of this article is using the properties of the Legendre’s symbol and the classical Gauss sums to study the calculating problem of the fourth power mean of a certain two-term exponential sums, and give an interesting calculating formula for it.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020480