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https://hdl.handle.net/11147/12936
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Göral, Haydar | tr |
dc.date.accessioned | 2023-02-05T13:25:05Z | - |
dc.date.available | 2023-02-05T13:25:05Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1553-1732 | - |
dc.identifier.uri | https://hdl.handle.net/11147/12936 | - |
dc.description.abstract | In 1915, Theisinger proved that all harmonic numbers are not integers except for the first one. In 1862, Wolstenholme proved that the numerator of the reduced form of the harmonic number Hp−1 is divisible by p2 and the numerator of the reduced form of the generalized harmonic number (Formula presented) is divisible by p for all primes p ≥ 5. In this note, we define harmonic type matrices and our goal is to extend Theisinger’s and Wolstenholme’s results to harmonic type matrices. © 2022, Colgate University. All rights reserved. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Colgate University | en_US |
dc.relation.ispartof | Integers | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.title | Some remarks on harmonic type matrices | en_US |
dc.type | Article | en_US |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 22 | en_US |
dc.identifier.scopus | 2-s2.0-85134224633 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | tr |
dc.authorscopusid | 55616260000 | - |
dc.identifier.wosquality | N/A | - |
dc.identifier.scopusquality | Q4 | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.openairetype | Article | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection |
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File | Size | Format | |
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SomeHGw66.pdf | 278.32 kB | Adobe PDF | View/Open |
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