A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums

The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula for it.

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Main Authors: Liu Miaohua, Li Xiaoxue
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/845845
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author Liu Miaohua
Li Xiaoxue
author_facet Liu Miaohua
Li Xiaoxue
author_sort Liu Miaohua
collection DOAJ
description The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula for it.
format Article
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-7e6e0196824f452eb7e6d96764fc72ad2025-02-03T05:51:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/845845845845A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character SumsLiu Miaohua0Li Xiaoxue1Institute of Science, Air Force Engineering University, Xi’an, Shaanxi 710051, ChinaDepartment of Mathematics, Northwest University, Xi’an, Shaanxi 710127, ChinaThe main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula for it.http://dx.doi.org/10.1155/2014/845845
spellingShingle Liu Miaohua
Li Xiaoxue
A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
Journal of Applied Mathematics
title A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
title_full A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
title_fullStr A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
title_full_unstemmed A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
title_short A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums
title_sort hybrid mean value involving the two term exponential sums and two term character sums
url http://dx.doi.org/10.1155/2014/845845
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AT lixiaoxue ahybridmeanvalueinvolvingthetwotermexponentialsumsandtwotermcharactersums
AT liumiaohua hybridmeanvalueinvolvingthetwotermexponentialsumsandtwotermcharactersums
AT lixiaoxue hybridmeanvalueinvolvingthetwotermexponentialsumsandtwotermcharactersums