Applications of Class Numbers and Bernoulli Numbers To Harmonic Type Sums
| dc.contributor.author | Göral, Haydar | |
| dc.contributor.author | Sertbaş, Doğa Can | |
| dc.date.accessioned | 2022-08-15T18:23:30Z | |
| dc.date.available | 2022-08-15T18:23:30Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | Divisibility properties of harmonic numbers by a prime number p have been a recurrent topic. However, finding the exact p-adic orders of them is not easy. Using class numbers of number fields and Bernoulli numbers, we compute the exact p-adic orders of harmonic type sums. Moreover, we obtain an asymptotic formula for generalized harmonic numbers whose p-adic orders are exactly one. | en_US |
| dc.identifier.doi | 10.4134/BKMS.b201045 | |
| dc.identifier.issn | 1015-8634 | |
| dc.identifier.scopus | 2-s2.0-85121839518 | |
| dc.identifier.uri | https://doi.org/10.4134/BKMS.b201045 | |
| dc.identifier.uri | https://hdl.handle.net/11147/12351 | |
| dc.language.iso | en | en_US |
| dc.publisher | Korean Mathematical Society | en_US |
| dc.relation.ispartof | Bulletin of The Korean Mathematical Society | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Harmonic numbers | en_US |
| dc.subject | Irregular primes | en_US |
| dc.subject | Harmonic numbers | en_US |
| dc.subject | Class number | en_US |
| dc.title | Applications of Class Numbers and Bernoulli Numbers To Harmonic Type Sums | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 1481 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1463 | en_US |
| gdc.description.volume | 58 | en_US |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000722031500011 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 1 | |
| gdc.scopus.citedcount | 1 | |
| gdc.wos.citedcount | 1 | |
| relation.isAuthorOfPublication.latestForDiscovery | 9c9e85f7-1109-4fca-b449-2f03ed2c74c2 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 9af2b05f-28ac-4012-8abe-a4dfe192da5e |
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