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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 and Yevgeny Zaytman |
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Vol. 2 (2020), No. 2, 287–307
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Abstract |
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For each odd prime , we conjecture the distribution of the -torsion subgroup of as ranges over real quadratic fields, or over imaginary quadratic fields. We then prove that the average size of the -torsion subgroup of is as predicted by this conjecture. |
Keywords
algebraic K-theory, ring of integers, class group,
Cohen-Lenstra heuristics
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Mathematical Subject Classification 2010
Primary: 11R70
Secondary: 11R29, 19D50, 19F99
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Milestones
Received: 21 June 2018
Revised: 27 January 2019
Accepted: 12 March 2019
Published: 2 August 2019
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Authors |
| Bruce W. Jordan | |
| Department of Mathematics Baruch College, City University of New York New York, NY United States |
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| Zev Klagsbrun | |
| Center for Communications
Research San Diego, CA United States |
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| Bjorn Poonen | |
| Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
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| Christopher Skinner | |
| Department of Mathematics Princeton University Princeton, NJ United States |
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| Yevgeny Zaytman | |
| Center for Communications
Research Princeton, NJ United States |
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