Units in families of totally complex algebraic number fields
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204312470 |
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| _version_ | 1832545468474720256 |
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| author | L. Ya. Vulakh |
| author_facet | L. Ya. Vulakh |
| author_sort | L. Ya. Vulakh |
| collection | DOAJ |
| description | Multidimensional continued fraction algorithms associated with
GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally
complex algebraic number fields of degrees four, six, and eight. |
| format | Article |
| id | doaj-art-c73c64184b9f42c5a5cd11632c72d3d9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c73c64184b9f42c5a5cd11632c72d3d92025-02-03T07:25:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004452383240010.1155/S0161171204312470Units in families of totally complex algebraic number fieldsL. Ya. Vulakh0Department of Mathematics, Albert Nerken School of Engineering, The Cooper Union, 51 Astor Place, New York 10003, NY, USAMultidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number fields of degrees four, six, and eight.http://dx.doi.org/10.1155/S0161171204312470 |
| spellingShingle | L. Ya. Vulakh Units in families of totally complex algebraic number fields International Journal of Mathematics and Mathematical Sciences |
| title | Units in families of totally complex algebraic number fields |
| title_full | Units in families of totally complex algebraic number fields |
| title_fullStr | Units in families of totally complex algebraic number fields |
| title_full_unstemmed | Units in families of totally complex algebraic number fields |
| title_short | Units in families of totally complex algebraic number fields |
| title_sort | units in families of totally complex algebraic number fields |
| url | http://dx.doi.org/10.1155/S0161171204312470 |
| work_keys_str_mv | AT lyavulakh unitsinfamiliesoftotallycomplexalgebraicnumberfields |