| dc.contributor.author | Isikay, Sevcan | |
| dc.contributor.author | Pekin, Ayten | |
| dc.date.accessioned | 2021-12-10T10:31:50Z | |
| dc.date.available | 2021-12-10T10:31:50Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Isikay S., Pekin A., "NEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS", BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.58, sa.5, ss.1149-1161, 2021 | |
| dc.identifier.issn | 1015-8634 | |
| dc.identifier.other | vv_1032021 | |
| dc.identifier.other | av_45a2476c-751e-43af-95c0-3c8f965e4f53 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12627/170076 | |
| dc.identifier.uri | https://doi.org/10.4134/bkms.b200744 | |
| dc.description.abstract | In this paper, we present new bounds on the fundamental units of real quadratic fields Q(root d) using the continued fraction expansion of the integral basis element of the field. Furthermore, we apply these bounds to Dirichlet's class number formula. Consequently, we provide computational advantages to estimate the class numbers of such fields. We also give some numerical examples. | |
| dc.language.iso | eng | |
| dc.subject | Physical Sciences | |
| dc.subject | General Mathematics | |
| dc.subject | Mathematics (miscellaneous) | |
| dc.subject | Algebra and Number Theory | |
| dc.subject | Analysis | |
| dc.subject | Temel Bilimler (SCI) | |
| dc.subject | Matematik | |
| dc.title | NEW BOUNDS FOR FUNDAMENTAL UNITS AND CLASS NUMBERS OF REAL QUADRATIC FIELDS | |
| dc.type | Makale | |
| dc.relation.journal | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | |
| dc.contributor.department | Gebze Teknik Üniversitesi , , | |
| dc.identifier.volume | 58 | |
| dc.identifier.issue | 5 | |
| dc.identifier.startpage | 1149 | |
| dc.identifier.endpage | 1161 | |
| dc.contributor.firstauthorID | 2755306 | |
