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

Abstract

For each odd prime p, we conjecture the distribution of the p-torsion subgroup of K (O ) 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 (O ) is as predicted by this conjecture. 2n F 2n F