The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums

In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.

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Main Authors: Zhang Jin, Zhang Jiafan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/9972104
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author Zhang Jin
Zhang Jiafan
author_facet Zhang Jin
Zhang Jiafan
author_sort Zhang Jin
collection DOAJ
description In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
format Article
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institution Kabale University
issn 2314-4629
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publishDate 2021-01-01
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series Journal of Mathematics
spelling doaj-art-a1298abd60824423b35268bf01e6795b2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99721049972104The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss SumsZhang Jin0Zhang Jiafan1School of Information Engineering, Xi’an University, Xi’an 710065, ChinaSchool of Mathematics, Northwest University, Xi’an 710127, ChinaIn this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.http://dx.doi.org/10.1155/2021/9972104
spellingShingle Zhang Jin
Zhang Jiafan
The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
Journal of Mathematics
title The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
title_full The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
title_fullStr The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
title_full_unstemmed The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
title_short The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
title_sort recursive properties of the error term of the fourth power mean of the generalized cubic gauss sums
url http://dx.doi.org/10.1155/2021/9972104
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