On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo $ p

The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol modulo p, an odd prime, and give an interesti...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 7; pp. 6961 - 6974
Main Authors Zhang, Wenpeng, Meng, Yuanyuan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
calculating formula
elementary method
the sixth power mean
the two-term exponential sums
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Summary:The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol modulo p, an odd prime, and give an interesting calculating formula for it.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021408