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

2017/03/01 by Jordan, Bruce W., Klagsbrun, Zev, Poonen, Bjorn +2
#11R70 (Primary) 11R29 #19D50 #19F99 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1703.00108

Abstract

For each odd prime p, we conjecture the distribution of the p-torsion subgroup of K_2n(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(O_F) is as predicted by this conjecture.

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