The generalized Kloosterman's sums and its fourth power mean
The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231359?viewType=HTML |
| _version_ | 1797663577565298688 |
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| author | Junfeng Cui Li Wang |
| author_facet | Junfeng Cui Li Wang |
| author_sort | Junfeng Cui |
| collection | DOAJ |
| description | The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a fresh and valuable approach for researching the related power mean problem. |
| first_indexed | 2024-03-11T19:16:41Z |
| format | Article |
| id | doaj.art-fc05c35730664ff28c8dfa0af4aea422 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T19:16:41Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-fc05c35730664ff28c8dfa0af4aea4222023-10-09T01:47:08ZengAIMS PressAIMS Mathematics2473-69882023-09-01811265902659910.3934/math.20231359The generalized Kloosterman's sums and its fourth power meanJunfeng Cui 0Li Wang11. Department of Mathematics, Longnan Teachers College, Longnan 742500, ChinaResearch Center for Number Theory and Its Applications, Northwest University, Xi'an 710127, ChinaThe main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. Simultaneously, the work also provides a fresh and valuable approach for researching the related power mean problem.https://www.aimspress.com/article/doi/10.3934/math.20231359?viewType=HTMLgeneralized kloosterman's sumsfourth power meananalytic methodcalculating formula |
| spellingShingle | Junfeng Cui Li Wang The generalized Kloosterman's sums and its fourth power mean AIMS Mathematics generalized kloosterman's sums fourth power mean analytic method calculating formula |
| title | The generalized Kloosterman's sums and its fourth power mean |
| title_full | The generalized Kloosterman's sums and its fourth power mean |
| title_fullStr | The generalized Kloosterman's sums and its fourth power mean |
| title_full_unstemmed | The generalized Kloosterman's sums and its fourth power mean |
| title_short | The generalized Kloosterman's sums and its fourth power mean |
| title_sort | generalized kloosterman s sums and its fourth power mean |
| topic | generalized kloosterman's sums fourth power mean analytic method calculating formula |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231359?viewType=HTML |
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