Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field
Name
Kheuristic.pdf
Description
Submitted version
Size
368.88 KB
Format
Adobe PDF
Checksum (MD5)
147dc6d3b6fe49e2c77baca64d70b806
Author(s)
Jordan, Bruce
Klagsbrun, Zev
Poonen, Bjorn
Skinner, Christopher
Zaytman, Yevgeny
Date Issued
2020
Journal
Tunisian Journal of Mathematics
Publisher
Mathematical Sciences Publishers
Version
Original manuscript
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.2140/TUNIS.2020.2.287
