A New Sum Analogous to Gauss Sums and Its Fourth Power Mean

The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.

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Bibliographic Details
Main Authors: Shaofeng Ru, Wenpeng Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/139725
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author Shaofeng Ru
Wenpeng Zhang
author_facet Shaofeng Ru
Wenpeng Zhang
author_sort Shaofeng Ru
collection DOAJ
description The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.
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institution Kabale University
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publishDate 2014-01-01
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series The Scientific World Journal
spelling doaj-art-0170eebc37f14c5cb91437e7cc79ce5a2025-02-03T01:29:23ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/139725139725A New Sum Analogous to Gauss Sums and Its Fourth Power MeanShaofeng Ru0Wenpeng Zhang1School of Economics & Management, Northwest University, Xi’an 710127, ChinaDepartment of Mathematics, Northwest University, Xi’an 710127, ChinaThe main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind of new sum analogous to Gauss sums and give an interesting fourth power mean and a sharp upper bound estimate for it.http://dx.doi.org/10.1155/2014/139725
spellingShingle Shaofeng Ru
Wenpeng Zhang
A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
The Scientific World Journal
title A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_full A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_fullStr A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_full_unstemmed A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_short A New Sum Analogous to Gauss Sums and Its Fourth Power Mean
title_sort new sum analogous to gauss sums and its fourth power mean
url http://dx.doi.org/10.1155/2014/139725
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AT wenpengzhang anewsumanalogoustogausssumsanditsfourthpowermean
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AT wenpengzhang newsumanalogoustogausssumsanditsfourthpowermean