A sum analogous to Kloosterman sum and its fourth power mean
The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp asymptotic formula for it.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020168/fulltext.html |
| _version_ | 1828885164405555200 |
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| author | He Yanqin Zhu Chaoxi Chen Zhuoyu |
| author_facet | He Yanqin Zhu Chaoxi Chen Zhuoyu |
| author_sort | He Yanqin |
| collection | DOAJ |
| description | The main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp asymptotic formula for it. |
| first_indexed | 2024-12-13T11:21:31Z |
| format | Article |
| id | doaj.art-125851a34f5947248f7b25d5f769f484 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T11:21:31Z |
| publishDate | 2020-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-125851a34f5947248f7b25d5f769f4842022-12-21T23:48:26ZengAIMS PressAIMS Mathematics2473-69882020-03-01532569257610.3934/math.2020168A sum analogous to Kloosterman sum and its fourth power meanHe Yanqin0Zhu Chaoxi1 Chen Zhuoyu21 Department of Basic Education, Shaanxi Fashion Engineering University, Xi’an, Shaanxi, P. R. China2 Mathematical College, Sichuan University, Chengdu, SiChuan, P. R. China3 School of Mathematics, Northwest University, Xi’an, Shaanxi, P. R. ChinaThe main purpose of this paper is using the analytic methods and the properties of the Legendre’s symbol and quadratic residue mod p to study the computational problem of the fourth power mean of a sum analogous to Kloosterman sum, and give a sharp asymptotic formula for it.https://www.aimspress.com/article/10.3934/math.2020168/fulltext.htmla sum analogous to kloosterman sumthe fourth power meanasymptotic formulaanalytic method |
| spellingShingle | He Yanqin Zhu Chaoxi Chen Zhuoyu A sum analogous to Kloosterman sum and its fourth power mean AIMS Mathematics a sum analogous to kloosterman sum the fourth power mean asymptotic formula analytic method |
| title | A sum analogous to Kloosterman sum and its fourth power mean |
| title_full | A sum analogous to Kloosterman sum and its fourth power mean |
| title_fullStr | A sum analogous to Kloosterman sum and its fourth power mean |
| title_full_unstemmed | A sum analogous to Kloosterman sum and its fourth power mean |
| title_short | A sum analogous to Kloosterman sum and its fourth power mean |
| title_sort | sum analogous to kloosterman sum and its fourth power mean |
| topic | a sum analogous to kloosterman sum the fourth power mean asymptotic formula analytic method |
| url | https://www.aimspress.com/article/10.3934/math.2020168/fulltext.html |
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