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AIMS Mathematics
Article . 2022 . Peer-reviewed
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AIMS Mathematics
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AIMS Mathematics
Article . 2022
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On the classical Gauss sums and their some new identities

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2022Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 5,860-5,870 (issn: 2473-6988, Copyright policy )
Authors: Wenpeng Zhang; Xiaodan Yuan;

doi: 10.3934/math.2022325

On the classical Gauss sums and their some new identities

Abstract

<abstract><p>In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order $ 12 $ modulo an odd prime $ p $, and obtain several new and interesting identities for them.</p></abstract>

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Keywords

the classical gauss sums, analytic methods, calculating formula, QA1-939, the character of order 12, identity, Mathematics

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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!
8
Top 10%
Top 10%
Top 10%
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