A note on variants of Euler's φ-function

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dc.authorscopusidDoğa Can Sertbaş / 57191499222
dc.authorwosidDoğa Can Sertbaş / JSK-6611-2023
dc.contributor.authorBüyükaşık, Engin
dc.contributor.authorGöral, Haydar
dc.contributor.authorSertbaş, Doğa Can
dc.date.accessioned2025-04-18T08:33:17Z
dc.date.available2025-04-18T08:33:17Z
dc.date.issued2024
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü
dc.description.abstractIt is well-known that the sum of the first n consecutive integers always divides the k-th power sum of the first n consecutive integers when k is odd. Motivated by this result, in this note, we study the divisibility properties of the power sum of positive integers that are coprime to n and not surpassing n. First, we prove a finiteness result for our divisibility sets using smooth numbers in short intervals. Then, we find the exact structure of a certain divisibility set that contains the orders of these power sums and our result is of computational flavour. © 2024 Institute of Mathematics, University of Debrecen. All rights reser
dc.identifier.citationBuyukasik, E., Goral, H., & Sertbas, D. C. (2024). A note on variants of Euler's φ-function.
dc.identifier.doi10.5486/PMD.2024.9674
dc.identifier.endpage89
dc.identifier.issn00333883
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-85199537363
dc.identifier.scopusqualityQ3
dc.identifier.startpage67
dc.identifier.urihttp://dx.doi.org/10.5486/PMD.2024.9674
dc.identifier.urihttps://hdl.handle.net/20.500.12713/6580
dc.identifier.volume105
dc.identifier.wosWOS:001303046100005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorSertbaş, Doğa Can
dc.institutionauthoridDoğa Can Sertbaş / 0000-0002-5884-6856
dc.language.isoen
dc.publisherInstitute of Mathematics, University of Debrecen
dc.relation.ispartofPublicationes Mathematicae Debrecen
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBernoulli Numbers
dc.subjectEuler’s φ-function
dc.subjectPrime Number Theory
dc.titleA note on variants of Euler's φ-function
dc.typeArticle

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