On two-term exponential sums and their mean values
The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them. The main purpose of this paper is using some elementary methods and the number of the solutions of the congruence equa...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-08-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2023282?viewType=HTML |
| _version_ | 1797657935404335104 |
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| author | Jianghua Li Zepeng Zhang Tianyu Pan |
| author_facet | Jianghua Li Zepeng Zhang Tianyu Pan |
| author_sort | Jianghua Li |
| collection | DOAJ |
| description | The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them. The main purpose of this paper is using some elementary methods and the number of the solutions of the congruence equations to study the calculating problem of some fourth power means of two-term exponential sums, and give exact calculating formulae and asymptotic formula for them. |
| first_indexed | 2024-03-11T17:51:43Z |
| format | Article |
| id | doaj.art-2dbc43805ed64dc896573392932b03a4 |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-03-11T17:51:43Z |
| publishDate | 2023-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-2dbc43805ed64dc896573392932b03a42023-10-18T01:48:05ZengAIMS PressElectronic Research Archive2688-15942023-08-013195559557210.3934/era.2023282On two-term exponential sums and their mean valuesJianghua Li 0Zepeng Zhang1Tianyu Pan2College of Sciences, Xi'an University of Technology, Xi'an, Shaanxi, ChinaCollege of Sciences, Xi'an University of Technology, Xi'an, Shaanxi, ChinaCollege of Sciences, Xi'an University of Technology, Xi'an, Shaanxi, ChinaThe mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them. The main purpose of this paper is using some elementary methods and the number of the solutions of the congruence equations to study the calculating problem of some fourth power means of two-term exponential sums, and give exact calculating formulae and asymptotic formula for them.https://www.aimspress.com/article/doi/10.3934/era.2023282?viewType=HTMLthe two-term exponential sumsfourth power meanelementary methodcalculating formula |
| spellingShingle | Jianghua Li Zepeng Zhang Tianyu Pan On two-term exponential sums and their mean values Electronic Research Archive the two-term exponential sums fourth power mean elementary method calculating formula |
| title | On two-term exponential sums and their mean values |
| title_full | On two-term exponential sums and their mean values |
| title_fullStr | On two-term exponential sums and their mean values |
| title_full_unstemmed | On two-term exponential sums and their mean values |
| title_short | On two-term exponential sums and their mean values |
| title_sort | on two term exponential sums and their mean values |
| topic | the two-term exponential sums fourth power mean elementary method calculating formula |
| url | https://www.aimspress.com/article/doi/10.3934/era.2023282?viewType=HTML |
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