Sums of One Prime Power and Four Prime Cubes in Short Intervals
Let k⩾1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n=p1k+p23+p33+p43+p53 in short intervals, where p1,p2,p3,p4,p5 are prime numbers.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/3244257 |
| _version_ | 1797808454925025280 |
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| author | Gen Li Xianjiu Huang Xiaoming Pan Li Yang |
| author_facet | Gen Li Xianjiu Huang Xiaoming Pan Li Yang |
| author_sort | Gen Li |
| collection | DOAJ |
| description | Let k⩾1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n=p1k+p23+p33+p43+p53 in short intervals, where p1,p2,p3,p4,p5 are prime numbers. |
| first_indexed | 2024-03-13T06:37:45Z |
| format | Article |
| id | doaj.art-141c195bfc1c49e19a9f68fcc63a77ab |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-03-13T06:37:45Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-141c195bfc1c49e19a9f68fcc63a77ab2023-06-09T00:00:02ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/3244257Sums of One Prime Power and Four Prime Cubes in Short IntervalsGen Li0Xianjiu Huang1Xiaoming Pan2Li Yang3Ji Luan AcademyDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsLet k⩾1 be an integer. In this study, we derive an asymptotic formula for the average number of representations of integers n=p1k+p23+p33+p43+p53 in short intervals, where p1,p2,p3,p4,p5 are prime numbers.http://dx.doi.org/10.1155/2023/3244257 |
| spellingShingle | Gen Li Xianjiu Huang Xiaoming Pan Li Yang Sums of One Prime Power and Four Prime Cubes in Short Intervals Journal of Mathematics |
| title | Sums of One Prime Power and Four Prime Cubes in Short Intervals |
| title_full | Sums of One Prime Power and Four Prime Cubes in Short Intervals |
| title_fullStr | Sums of One Prime Power and Four Prime Cubes in Short Intervals |
| title_full_unstemmed | Sums of One Prime Power and Four Prime Cubes in Short Intervals |
| title_short | Sums of One Prime Power and Four Prime Cubes in Short Intervals |
| title_sort | sums of one prime power and four prime cubes in short intervals |
| url | http://dx.doi.org/10.1155/2023/3244257 |
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