Exceptional Sets for Sums of Prime Cubes in Short Interval
Let EN,X denote the number of even integers n, with N−X≤n≤N, such that n cannot be written as n=p13+⋯+p83. We prove that if X>N1/36+ɛ, then EN,X=oX.
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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/10.1155/2021/5255880 |
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| _version_ | 1832563035481309184 |
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| author | Gongrui Chen |
| author_facet | Gongrui Chen |
| author_sort | Gongrui Chen |
| collection | DOAJ |
| description | Let EN,X denote the number of even integers n, with N−X≤n≤N, such that n cannot be written as n=p13+⋯+p83. We prove that if X>N1/36+ɛ, then EN,X=oX. |
| format | Article |
| id | doaj-art-8c3c41d5442247288eede14aaf14baeb |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8c3c41d5442247288eede14aaf14baeb2025-02-03T01:21:09ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5255880Exceptional Sets for Sums of Prime Cubes in Short IntervalGongrui Chen0School of MathematicsLet EN,X denote the number of even integers n, with N−X≤n≤N, such that n cannot be written as n=p13+⋯+p83. We prove that if X>N1/36+ɛ, then EN,X=oX.http://dx.doi.org/10.1155/2021/5255880 |
| spellingShingle | Gongrui Chen Exceptional Sets for Sums of Prime Cubes in Short Interval Journal of Mathematics |
| title | Exceptional Sets for Sums of Prime Cubes in Short Interval |
| title_full | Exceptional Sets for Sums of Prime Cubes in Short Interval |
| title_fullStr | Exceptional Sets for Sums of Prime Cubes in Short Interval |
| title_full_unstemmed | Exceptional Sets for Sums of Prime Cubes in Short Interval |
| title_short | Exceptional Sets for Sums of Prime Cubes in Short Interval |
| title_sort | exceptional sets for sums of prime cubes in short interval |
| url | http://dx.doi.org/10.1155/2021/5255880 |
| work_keys_str_mv | AT gongruichen exceptionalsetsforsumsofprimecubesinshortinterval |