Bruce W. Jordan, Z. Klagsbrun, B. Poonen, C. Skinner, Yevgeny Zaytman
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Statistics of K-groups modulo p for the ring of
integers of a varying quadratic number field
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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