On the Fourth Power Mean of the Two-Term Exponential Sums

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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.

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Bibliographic Details
Main Authors: Han Zhang, Wenpeng Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/724840
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author Han Zhang
Wenpeng Zhang
author_facet Han Zhang
Wenpeng Zhang
author_sort Han Zhang
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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.
format Article
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institution Kabale University
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publishDate 2014-01-01
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spelling doaj-art-8baf137a93fb4f4a92e513e1e04d833b2025-02-03T01:01:17ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/724840724840On the Fourth Power Mean of the Two-Term Exponential SumsHan Zhang0Wenpeng Zhang1Department of Mathematics, Northwest University, Xi'an, Shaanxi, ChinaDepartment of Mathematics, Northwest University, Xi'an, Shaanxi, 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 fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for it.http://dx.doi.org/10.1155/2014/724840
spellingShingle Han Zhang
Wenpeng Zhang
On the Fourth Power Mean of the Two-Term Exponential Sums
The Scientific World Journal
title On the Fourth Power Mean of the Two-Term Exponential Sums
title_full On the Fourth Power Mean of the Two-Term Exponential Sums
title_fullStr On the Fourth Power Mean of the Two-Term Exponential Sums
title_full_unstemmed On the Fourth Power Mean of the Two-Term Exponential Sums
title_short On the Fourth Power Mean of the Two-Term Exponential Sums
title_sort on the fourth power mean of the two term exponential sums
url http://dx.doi.org/10.1155/2014/724840
work_keys_str_mv AT hanzhang onthefourthpowermeanofthetwotermexponentialsums
AT wenpengzhang onthefourthpowermeanofthetwotermexponentialsums