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arXiv · 1703.00108

Statistics of $K$-groups modulo $p$ for the ring of integers of a varying quadratic number field

Bruce W. Jordan·Zev Klagsbrun·Bjorn Poonen·Christopher Skinner·Yevgeny Zaytman
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Abstract

For each odd prime $p$, we conjecture the distribution of the $p$-torsion subgroup of $K_{2n}(\mathcal{O}_F)$ as $F$ ranges over real quadratic fields, or over imaginary quadratic fields. We then prove that the average size of the $3$-torsion subgroup of $K_{2n}(\mathcal{O}_F)$ is as predicted by this conjecture.

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Bruce W. Jordan, Zev Klagsbrun, Bjorn Poonen, Christopher Skinner, Yevgeny Zaytman. 2017-03-01. Statistics of $K$-groups modulo $p$ for the ring of integers of a varying quadratic number field. https://doi.org/10.2140/tunis.2020.2.287

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