@article{06ba80941aa34974bc46e516fa32bfe1,

title = "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 K2n (OF) 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 K2n (OF) is as predicted by this conjecture.",

keywords = "Algebraic K-theory, Class group, Cohen-Lenstra heuristics, Ring of integers",

author = "Jordan, {Bruce W.} and Zev Klagsbrun and Bjorn Poonen and Christopher Skinner and Yevgeny Zaytman",

note = "Funding Information: Poonen was supported in part by National Science Foundation grant DMS-1601946 and Simons Foundation grants #402472 and #550033. Skinner was supported in part by National Science Foundation grant DMS-1301842 and by the Simons Investigator grant #376203 from the Simons Foundation. MSC2010: primary 11R70; secondary 11R29, 19D50, 19F99. Keywords: algebraic K-theory, ring of integers, class group, Cohen-Lenstra heuristics. Publisher Copyright: {\textcopyright} 2020, Mathematical Science Publishers. All rights reserved.",

year = "2020",

doi = "10.2140/tunis.2020.2.287",

language = "English (US)",

volume = "2",

pages = "287--307",

journal = "Tunisian Journal of Mathematics",

issn = "2576-7658",

publisher = "Mathematical Science Publishers",

number = "2",

}