The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums
In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.
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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/10.1155/2021/9972104 |
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| _version_ | 1832561306639532032 |
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| author | Zhang Jin Zhang Jiafan |
| author_facet | Zhang Jin Zhang Jiafan |
| author_sort | Zhang Jin |
| collection | DOAJ |
| description | In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it. |
| format | Article |
| id | doaj-art-a1298abd60824423b35268bf01e6795b |
| 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-a1298abd60824423b35268bf01e6795b2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99721049972104The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss SumsZhang Jin0Zhang Jiafan1School of Information Engineering, Xi’an University, Xi’an 710065, ChinaSchool of Mathematics, Northwest University, Xi’an 710127, ChinaIn this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for it.http://dx.doi.org/10.1155/2021/9972104 |
| spellingShingle | Zhang Jin Zhang Jiafan The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums Journal of Mathematics |
| title | The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums |
| title_full | The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums |
| title_fullStr | The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums |
| title_full_unstemmed | The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums |
| title_short | The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums |
| title_sort | recursive properties of the error term of the fourth power mean of the generalized cubic gauss sums |
| url | http://dx.doi.org/10.1155/2021/9972104 |
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