A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums
The main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to give some interesting calculating formula for the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022881?viewType=HTML |
| _version_ | 1811225608070365184 |
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| author | Xiaoxue Li Wenpeng Zhang |
| author_facet | Xiaoxue Li Wenpeng Zhang |
| author_sort | Xiaoxue Li |
| collection | DOAJ |
| description | The main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to give some interesting calculating formula for them. At the same time, the paper also provides an effective calculating method for the study of the hybrid power mean involving the k-th Gauss sums and Kloosterman sums. |
| first_indexed | 2024-04-12T09:10:13Z |
| format | Article |
| id | doaj.art-2ef23e2d35a3421eac0cea166621cea5 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T09:10:13Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2ef23e2d35a3421eac0cea166621cea52022-12-22T03:38:59ZengAIMS PressAIMS Mathematics2473-69882022-07-0179161021611110.3934/math.2022881A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sumsXiaoxue Li 0Wenpeng Zhang11. School of Science, Xi'an Aeronautical Institute, Xi'an, Shaanxi, China2. School of Mathematics, Northwest University, Xi'an, Shaanxi, ChinaThe main purpose of this paper is to study the calculating problem of one kind hybrid power mean involving the cubic Gauss sums and Kloosterman sums, and using the elementary methods, analytic methods and the properties of the classical Gauss sums to give some interesting calculating formula for them. At the same time, the paper also provides an effective calculating method for the study of the hybrid power mean involving the k-th Gauss sums and Kloosterman sums.https://www.aimspress.com/article/doi/10.3934/math.2022881?viewType=HTMLthe cubic gauss sumskloosterman sumshybrid power meanelementary methodrecurrence formula |
| spellingShingle | Xiaoxue Li Wenpeng Zhang A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums AIMS Mathematics the cubic gauss sums kloosterman sums hybrid power mean elementary method recurrence formula |
| title | A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums |
| title_full | A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums |
| title_fullStr | A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums |
| title_full_unstemmed | A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums |
| title_short | A note on the hybrid power mean involving the cubic Gauss sums and Kloosterman sums |
| title_sort | note on the hybrid power mean involving the cubic gauss sums and kloosterman sums |
| topic | the cubic gauss sums kloosterman sums hybrid power mean elementary method recurrence formula |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022881?viewType=HTML |
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