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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
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AIMS Mathematics
Article . 2021
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zbMATH Open
Article . 2021
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The generalized quadratic Gauss sums and its sixth power mean

Authors: Xingxing Lv; Wenpeng Zhang;

The generalized quadratic Gauss sums and its sixth power mean

Abstract

<abstract><p>In this article, we using elementary methods, the number of the solutions of some congruence equations and the properties of the Legendre's symbol to study the computational problem of the sixth power mean of a certain generalized quadratic Gauss sums, and to give an exact calculating formula for it.</p></abstract>

Related Organizations
Keywords

calculating formula, a certain generalized quadratic Gauss sums, Estimates on exponential sums, Estimates on character sums, \(\zeta (s)\) and \(L(s, \chi)\), a certain generalized quadratic gauss sums, QA1-939, Asymptotic results on arithmetic functions, Gauss and Kloosterman sums; generalizations, Mathematics, the sixth power mean, congruence equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold