On the fourth power mean of one special two-term exponential sums
The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023434?viewType=HTML |
| _version_ | 1797902182979207168 |
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| author | Wenpeng Zhang Yuanyuan Meng |
| author_facet | Wenpeng Zhang Yuanyuan Meng |
| author_sort | Wenpeng Zhang |
| collection | DOAJ |
| description | The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it. |
| first_indexed | 2024-04-10T09:13:40Z |
| format | Article |
| id | doaj.art-da7fb6d31b0e4c5e88103882b7dca80d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T09:13:40Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-da7fb6d31b0e4c5e88103882b7dca80d2023-02-21T01:44:37ZengAIMS PressAIMS Mathematics2473-69882023-02-01848650866010.3934/math.2023434On the fourth power mean of one special two-term exponential sumsWenpeng Zhang0Yuanyuan Meng1Research Center for Number Theory and Its Applications, Northwest University, Xi'an, 710127, Shaanxi, ChinaResearch Center for Number Theory and Its Applications, Northwest University, Xi'an, 710127, Shaanxi, ChinaThe main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.https://www.aimspress.com/article/doi/10.3934/math.2023434?viewType=HTMLthe two-term exponential sumsfourth power meanelementary methodcalculating formula |
| spellingShingle | Wenpeng Zhang Yuanyuan Meng On the fourth power mean of one special two-term exponential sums AIMS Mathematics the two-term exponential sums fourth power mean elementary method calculating formula |
| title | On the fourth power mean of one special two-term exponential sums |
| title_full | On the fourth power mean of one special two-term exponential sums |
| title_fullStr | On the fourth power mean of one special two-term exponential sums |
| title_full_unstemmed | On the fourth power mean of one special two-term exponential sums |
| title_short | On the fourth power mean of one special two-term exponential sums |
| title_sort | on the fourth power mean of one special two term exponential sums |
| topic | the two-term exponential sums fourth power mean elementary method calculating formula |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023434?viewType=HTML |
| work_keys_str_mv | AT wenpengzhang onthefourthpowermeanofonespecialtwotermexponentialsums AT yuanyuanmeng onthefourthpowermeanofonespecialtwotermexponentialsums |