The Pjateckiǐ-Šapiro prime number theorem
It is proved that the sequence [nc] contains the expected number of primes whenever 1 < c < 1.1404..., thus improving Kolesnik's range 1 < c < 1.1111.... An identity of Vaughan's type in five variables is needed. © 1983.
| Váldodahkki: | |
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| Materiálatiipa: | Journal article |
| Giella: | English |
| Almmustuhtton: |
1983
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| _version_ | 1826271668541063168 |
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| author | Heath-Brown, D |
| author_facet | Heath-Brown, D |
| author_sort | Heath-Brown, D |
| collection | OXFORD |
| description | It is proved that the sequence [nc] contains the expected number of primes whenever 1 < c < 1.1404..., thus improving Kolesnik's range 1 < c < 1.1111.... An identity of Vaughan's type in five variables is needed. © 1983. |
| first_indexed | 2024-03-06T22:00:18Z |
| format | Journal article |
| id | oxford-uuid:4e5a28c9-62cd-4a93-a1a3-694df4def93c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T22:00:18Z |
| publishDate | 1983 |
| record_format | dspace |
| spelling | oxford-uuid:4e5a28c9-62cd-4a93-a1a3-694df4def93c2022-03-26T16:00:41ZThe Pjateckiǐ-Šapiro prime number theoremJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4e5a28c9-62cd-4a93-a1a3-694df4def93cEnglishSymplectic Elements at Oxford1983Heath-Brown, DIt is proved that the sequence [nc] contains the expected number of primes whenever 1 < c < 1.1404..., thus improving Kolesnik's range 1 < c < 1.1111.... An identity of Vaughan's type in five variables is needed. © 1983. |
| spellingShingle | Heath-Brown, D The Pjateckiǐ-Šapiro prime number theorem |
| title | The Pjateckiǐ-Šapiro prime number theorem |
| title_full | The Pjateckiǐ-Šapiro prime number theorem |
| title_fullStr | The Pjateckiǐ-Šapiro prime number theorem |
| title_full_unstemmed | The Pjateckiǐ-Šapiro prime number theorem |
| title_short | The Pjateckiǐ-Šapiro prime number theorem |
| title_sort | pjateckii sapiro prime number theorem |
| work_keys_str_mv | AT heathbrownd thepjateckiisapiroprimenumbertheorem AT heathbrownd pjateckiisapiroprimenumbertheorem |