A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums
The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an interesting four-order linear recurrence formula for...
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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/10.1155/2021/5515014 |
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| _version_ | 1832547028917288960 |
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| author | Lan Qi Xingxing Lv |
| author_facet | Lan Qi Xingxing Lv |
| author_sort | Lan Qi |
| collection | DOAJ |
| description | The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an interesting four-order linear recurrence formula for it. As an application, we can obtain all values of this kind hybrid power mean with mathematica software. |
| format | Article |
| id | doaj-art-a0b6a55291634976b1002e1ae1de9e42 |
| 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-a0b6a55291634976b1002e1ae1de9e422025-02-03T06:46:22ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55150145515014A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential SumsLan Qi0Xingxing Lv1School of Mathematics and Statistics, Yulin University, Yulin, Shaanxi, ChinaSchool of Mathematics, Northwest University, Xi’an, Shaanxi, ChinaThe main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an interesting four-order linear recurrence formula for it. As an application, we can obtain all values of this kind hybrid power mean with mathematica software.http://dx.doi.org/10.1155/2021/5515014 |
| spellingShingle | Lan Qi Xingxing Lv A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums Journal of Mathematics |
| title | A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums |
| title_full | A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums |
| title_fullStr | A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums |
| title_full_unstemmed | A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums |
| title_short | A Four-Order Linear Recurrence Formula Involving the Quartic Gauss Sums and One Kind Two-Term Exponential Sums |
| title_sort | four order linear recurrence formula involving the quartic gauss sums and one kind two term exponential sums |
| url | http://dx.doi.org/10.1155/2021/5515014 |
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