A Note on Variants of Euler's Φ-Function
| dc.contributor.author | Buyukasik, Engin | |
| dc.contributor.author | Goral, Haydar | |
| dc.contributor.author | Sertbas, Doga Can | |
| dc.date.accessioned | 2024-09-24T15:44:36Z | |
| dc.date.available | 2024-09-24T15:44:36Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | It is well-known that the sum of the firstnconsecutive integers alwaysdivides thek-th power sum of the firstnconsecutive integers whenkis odd. Motivatedby this result, in this note, we study the divisibility properties of the power sum ofpositive integers that are coprime tonand not surpassingn. First, we prove a finitenessresult for our divisibility sets using smooth numbers in short intervals. Then, we findthe exact structure of a certain divisibility set that contains the orders of these powersums and our result is of computational flavour. | en_US |
| dc.identifier.doi | 10.5486/PMD.2024.9674 | |
| dc.identifier.issn | 0033-3883 | |
| dc.identifier.issn | 2064-2849 | |
| dc.identifier.scopus | 2-s2.0-85199537363 | |
| dc.identifier.uri | https://doi.org/10.5486/PMD.2024.9674 | |
| dc.identifier.uri | https://hdl.handle.net/11147/14645 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ debrecen, inst Mathematics | en_US |
| dc.relation.ispartof | Publicationes Mathematicae Debrecen | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Euler's phi-function | en_US |
| dc.subject | Bernoulli numbers | en_US |
| dc.subject | prime number theory | en_US |
| dc.title | A Note on Variants of Euler's Φ-Function | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 6504488611 | |
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| gdc.author.wosid | Sertbas, Doga Can/JSK-6611-2023 | |
| gdc.author.wosid | Göral, Haydar/JVP-2064-2024 | |
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| gdc.description.department | Izmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Buyukasik, Engin; Goral, Haydar] izmir Inst Technol, Dept Math, TR-35430 Izmir, Turkiye; [Sertbas, Doga Can] Istinye Univ, Fac Engn & Nat Sci, Dept Math, TR-34396 Istanbul, Turkiye | en_US |
| gdc.description.endpage | 89 | en_US |
| gdc.description.issue | 1-2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 67 | en_US |
| gdc.description.volume | 105 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Euler’s φ-function | |
| gdc.oaire.keywords | Bernoulli Numbers | |
| gdc.oaire.keywords | Prime Number Theory | |
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