On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums
The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting ident...
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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/10.1155/2021/1282537 |
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| _version_ | 1832566446461288448 |
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| author | Xiaoling Xu |
| author_facet | Xiaoling Xu |
| author_sort | Xiaoling Xu |
| collection | DOAJ |
| description | The main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting identities for them. |
| format | Article |
| id | doaj-art-e86fb3aeaaf743bdb371614eaad29ce1 |
| 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-e86fb3aeaaf743bdb371614eaad29ce12025-02-03T01:04:10ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/12825371282537On the Hybrid Power Mean Involving the Character Sums and Dedekind SumsXiaoling Xu0School of Data Science and Engineering, Xi’an Innovation College of Yan’an University, Xi’an, Shaanxi, ChinaThe main purpose of this paper is to use the elementary and analytic methods, the properties of Gauss sums, and character sums to study the computational problem of a certain hybrid power mean involving the Dedekind sums and a character sum analogous to Kloosterman sum and give two interesting identities for them.http://dx.doi.org/10.1155/2021/1282537 |
| spellingShingle | Xiaoling Xu On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums Journal of Mathematics |
| title | On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums |
| title_full | On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums |
| title_fullStr | On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums |
| title_full_unstemmed | On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums |
| title_short | On the Hybrid Power Mean Involving the Character Sums and Dedekind Sums |
| title_sort | on the hybrid power mean involving the character sums and dedekind sums |
| url | http://dx.doi.org/10.1155/2021/1282537 |
| work_keys_str_mv | AT xiaolingxu onthehybridpowermeaninvolvingthecharactersumsanddedekindsums |