A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asympt...
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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/10.1155/2014/914591 |
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| _version_ | 1832549471475466240 |
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| author | Jianghua Li Tingting Wang |
| author_facet | Jianghua Li Tingting Wang |
| author_sort | Jianghua Li |
| collection | DOAJ |
| description | The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asymptotic formula for it. |
| format | Article |
| id | doaj-art-c4366213f6b348449f036f38c7dea355 |
| 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-c4366213f6b348449f036f38c7dea3552025-02-03T06:11:17ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/914591914591A Hybrid Mean Value Involving Dedekind Sums and the General Exponential SumsJianghua Li0Tingting Wang1College of Science, Xi’an University of Technology, Xi’an, Shaanxi 710048, ChinaCollege of Science, Northwest A&F University, Yangling District, Shaanxi 712100, ChinaThe main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the general exponential sums and give a sharp asymptotic formula for it.http://dx.doi.org/10.1155/2014/914591 |
| spellingShingle | Jianghua Li Tingting Wang A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums The Scientific World Journal |
| title | A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums |
| title_full | A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums |
| title_fullStr | A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums |
| title_full_unstemmed | A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums |
| title_short | A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums |
| title_sort | hybrid mean value involving dedekind sums and the general exponential sums |
| url | http://dx.doi.org/10.1155/2014/914591 |
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