A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5516217 |
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| _version_ | 1849396091080933376 |
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| author | Xiaowei Pan Xiaoyan Guo |
| author_facet | Xiaowei Pan Xiaoyan Guo |
| author_sort | Xiaowei Pan |
| collection | DOAJ |
| description | In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it. |
| format | Article |
| id | doaj-art-b234c80a3c1f4e7b8a10b7765d19b46d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b234c80a3c1f4e7b8a10b7765d19b46d2025-08-20T03:39:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55162175516217A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman SumsXiaowei Pan0Xiaoyan Guo1School of Health Management, Xi’an Medical University, Xi’an, Shaanxi, ChinaSchool of Mathematics, Northwest University, Xi’an, Shaanxi, ChinaIn this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for it.http://dx.doi.org/10.1155/2021/5516217 |
| spellingShingle | Xiaowei Pan Xiaoyan Guo A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums Journal of Mathematics |
| title | A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums |
| title_full | A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums |
| title_fullStr | A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums |
| title_full_unstemmed | A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums |
| title_short | A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums |
| title_sort | hybrid mean value involving dedekind sums and the generalized kloosterman sums |
| url | http://dx.doi.org/10.1155/2021/5516217 |
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