Variations on a theme of Mirsky
dc.authorid | AKBAL, YILDIRIM/0000-0003-2138-4050 | |
dc.authorwosid | Akbal, Yıldırım/ITT-5282-2023 | |
dc.contributor.author | Akbal, Yıldırım | |
dc.contributor.author | Guloglu, Ahmet M. | |
dc.contributor.other | Mathematics | |
dc.date.accessioned | 2024-07-05T15:21:37Z | |
dc.date.available | 2024-07-05T15:21:37Z | |
dc.date.issued | 2023 | |
dc.department | Atılım University | en_US |
dc.department-temp | [Akbal, Yildirim] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey; [Guloglu, Ahmet M.] Bilkent Univ, Dept Math, SA 131, TR-06800 Ankara, Turkey | en_US |
dc.description | AKBAL, YILDIRIM/0000-0003-2138-4050 | en_US |
dc.description.abstract | Let k and r be non-zero integers with r >= 2. An integer is called r-free if it is not divisible by the rth power of a prime. A result of Mirsky states that there are infinitely many primes p such that p + k is r-free. In this paper, we study an additive Goldbach-type problem and prove two uniform distribution results using these primes. We also study certain properties of primes p such that p + a1,....,p + al are simultaneously r-free, where a1,....,al are non-zero integers and l >= 1. | en_US |
dc.description.sponsorship | TUBITAK Research Grant [119F425] | en_US |
dc.description.sponsorship | We thank the referees for carefully reading the paper and their helpful suggestions that we believe improved the organization of this paper. Both authors are supported by TUBITAK Research Grant No. 119F425. | en_US |
dc.identifier.citation | 0 | |
dc.identifier.doi | 10.1142/S179304212350001X | |
dc.identifier.endpage | 39 | en_US |
dc.identifier.issn | 1793-0421 | |
dc.identifier.issn | 1793-7310 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.scopusquality | Q3 | |
dc.identifier.startpage | 1 | en_US |
dc.identifier.uri | https://doi.org/10.1142/S179304212350001X | |
dc.identifier.uri | https://hdl.handle.net/20.500.14411/2113 | |
dc.identifier.volume | 19 | en_US |
dc.identifier.wos | WOS:000849372900001 | |
dc.identifier.wosquality | Q3 | |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Hardy-Littlewood circle method | en_US |
dc.subject | r-free shifted primes | en_US |
dc.subject | Goldbach-type additive problems | en_US |
dc.title | Variations on a theme of Mirsky | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication | |
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