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Densities of 4-ranks of K_2(O)
| Title: | Densities of 4-ranks of K_2(O) | Authors: | Osburn, Robert | Permanent link: | http://hdl.handle.net/10197/7959 | Date: | 2002 | Online since: | 2016-09-16T11:49:32Z | Abstract: | In [1], the authors established a method of determining the structure of the 2-Sylow subgroup of the tame kernel K2(O) for certain quadratic number fields. Specifically, the 4-rank for these fields was characterized in terms of positive definite binary quadratic forms. Numerical calculations led to questions concerning possible density results of the 4-rank of tame kernels. In this paper, we succeed in giving affirmative answers to these questions. | Type of material: | Journal Article | Publisher: | Polskiej Akademi Nauk, Instytut Matematyczny | Journal: | Acta Arithmetica | Volume: | 102 | Start page: | 45 | End page: | 54 | Keywords: | K-theory; Global fields; Quadratic extensions; Density theorems | DOI: | 10.4064/aa102-1-4 | Language: | en | Status of Item: | Peer reviewed |
| Appears in Collections: | Mathematics and Statistics Research Collection |
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