On a Diophantine Inequality with s Primes
Let 2<c<δ. In this study, for prime numbers p1,…,ps and a sufficiently large real number N, we prove the Diophantine inequality p1c+⋯+psc−N<N−9/10cδ−c, where δ=294−210s/123−97s and s≥5. When s=5, this result improves a previous result.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3303476 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566941412229120 |
|---|---|
| author | Xiaofei Yan Lu Zhang |
| author_facet | Xiaofei Yan Lu Zhang |
| author_sort | Xiaofei Yan |
| collection | DOAJ |
| description | Let 2<c<δ. In this study, for prime numbers p1,…,ps and a sufficiently large real number N, we prove the Diophantine inequality p1c+⋯+psc−N<N−9/10cδ−c, where δ=294−210s/123−97s and s≥5. When s=5, this result improves a previous result. |
| format | Article |
| id | doaj-art-47330ef613814cf89267a79268e9d544 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-47330ef613814cf89267a79268e9d5442025-02-03T01:02:37ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3303476On a Diophantine Inequality with s PrimesXiaofei Yan0Lu Zhang1School of Mathematics and StatisticsSchool of Mathematics and StatisticsLet 2<c<δ. In this study, for prime numbers p1,…,ps and a sufficiently large real number N, we prove the Diophantine inequality p1c+⋯+psc−N<N−9/10cδ−c, where δ=294−210s/123−97s and s≥5. When s=5, this result improves a previous result.http://dx.doi.org/10.1155/2021/3303476 |
| spellingShingle | Xiaofei Yan Lu Zhang On a Diophantine Inequality with s Primes Journal of Mathematics |
| title | On a Diophantine Inequality with s Primes |
| title_full | On a Diophantine Inequality with s Primes |
| title_fullStr | On a Diophantine Inequality with s Primes |
| title_full_unstemmed | On a Diophantine Inequality with s Primes |
| title_short | On a Diophantine Inequality with s Primes |
| title_sort | on a diophantine inequality with s primes |
| url | http://dx.doi.org/10.1155/2021/3303476 |
| work_keys_str_mv | AT xiaofeiyan onadiophantineinequalitywithsprimes AT luzhang onadiophantineinequalitywithsprimes |