Some Remarks on Harmonic Type Matrices
| dc.contributor.author | Göral, Haydar | |
| dc.date.accessioned | 2023-02-05T13:25:05Z | |
| dc.date.available | 2023-02-05T13:25:05Z | |
| dc.date.issued | 2022 | |
| 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.identifier.issn | 1553-1732 | |
| dc.identifier.scopus | 2-s2.0-85134224633 | |
| dc.identifier.uri | https://hdl.handle.net/11147/12936 | |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 55616260000 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.volume | 22 | en_US |
| gdc.description.wosquality | N/A | |
| gdc.index.type | Scopus | |
| gdc.scopus.citedcount | 0 | |
| relation.isAuthorOfPublication.latestForDiscovery | 9c9e85f7-1109-4fca-b449-2f03ed2c74c2 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9af2b05f-28ac-4012-8abe-a4dfe192da5e |
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