On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the cubic Gauss sums. As an application of this result...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6638156 |
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| _version_ | 1849404070182256640 |
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| author | Shaofan Cao Tingting Wang |
| author_facet | Shaofan Cao Tingting Wang |
| author_sort | Shaofan Cao |
| collection | DOAJ |
| description | In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the cubic Gauss sums. As an application of this result, some exact computational formulas for one kind hybrid power mean of trigonometric sums are obtained. |
| format | Article |
| id | doaj-art-9119b17d091f4c67bdbe4583f7b87bb9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9119b17d091f4c67bdbe4583f7b87bb92025-08-20T03:37:06ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66381566638156On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss SumsShaofan Cao0Tingting Wang1College of Science, Northwest A&F University, Yangling, Shaanxi, ChinaCollege of Science, Northwest A&F University, Yangling, Shaanxi, ChinaIn this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the cubic Gauss sums. As an application of this result, some exact computational formulas for one kind hybrid power mean of trigonometric sums are obtained.http://dx.doi.org/10.1155/2021/6638156 |
| spellingShingle | Shaofan Cao Tingting Wang On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums Journal of Mathematics |
| title | On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums |
| title_full | On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums |
| title_fullStr | On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums |
| title_full_unstemmed | On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums |
| title_short | On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums |
| title_sort | on the hybrid power mean of two term exponential sums and cubic gauss sums |
| url | http://dx.doi.org/10.1155/2021/6638156 |
| work_keys_str_mv | AT shaofancao onthehybridpowermeanoftwotermexponentialsumsandcubicgausssums AT tingtingwang onthehybridpowermeanoftwotermexponentialsumsandcubicgausssums |