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Tame kernels and further 4-rank densites

Robert Osburn·Brian Murray
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Abstract

There has been recent progress on computing the 4-rank of the tame kernel $K_2(\mathcal{O}_F)$ for $F$ a quadratic number field. For certain quadratic number fields, this progress has led to "density results'' concerning the 4-rank of tame kernels. These results were first mentioned in \cite{CH} and proven in \cite{RO}. In this paper, we consider some additional quadratic number fields and obtain further density results of 4-ranks of tame kernels. Additionally, we give tables which might indicate densities in some generality.

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Robert Osburn, Brian Murray. 2007-03-12. Tame kernels and further 4-rank densites. https://doi.org/10.1016/s0022-314x(02)00045-8

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