Some consequences of unique factorization in imaginary quadratic number fields of class number 1
| dc.contributor.author | Bannar-Martin, Mark William | en_US |
| dc.date.accessioned | 2024-08-13T00:07:10Z | |
| dc.date.available | 2024-08-13T00:07:10Z | |
| dc.date.copyright | 1998 | en_US |
| dc.date.issued | 1998 | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en |
| dc.description.abstract | For square-free m, the imaginary quadratic number fields Q/square root m of class number 1 occur when m = -1 , -2, -3, -7, -11, -19 -43, -67, -163. The unique factorization of algebraic integers in these number fields allows an elementary derivation of nine series involving ϖ and of nine algebraic identities. Full details of the calculation of these series and identities are given. | |
| dc.format.extent | 45 pages | |
| dc.identifier.uri | https://hdl.handle.net/1828/17159 | |
| dc.rights | Available to the World Wide Web | en_US |
| dc.title | Some consequences of unique factorization in imaginary quadratic number fields of class number 1 | en_US |
| dc.type | Thesis | en_US |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- BANNAR_MARTIN_Mark_William_MSc_1998_744192.pdf
- Size:
- 9.52 MB
- Format:
- Adobe Portable Document Format