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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-0170eebc37f14c5cb91437e7cc79ce5a |
institution | Kabale University |
issn | 2356-6140 1537-744X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT shaofengru anewsumanalogoustogausssumsanditsfourthpowermean AT wenpengzhang anewsumanalogoustogausssumsanditsfourthpowermean AT shaofengru newsumanalogoustogausssumsanditsfourthpowermean AT wenpengzhang newsumanalogoustogausssumsanditsfourthpowermean |