English

A note on 4-rank densities

Number Theory 2021-02-03 v1 K-Theory and Homology

Abstract

For certain real quadratic number fields, we prove density results concerning 4-ranks of tame kernels. We also discuss a relationship between 4-ranks of tame kernels and 4-class ranks of narrow ideal class groups. Additionally, we give a product formula for a local Hilbert symbol.

Keywords

Cite

@article{arxiv.math/0703325,
  title  = {A note on 4-rank densities},
  author = {Robert Osburn},
  journal= {arXiv preprint arXiv:math/0703325},
  year   = {2021}
}

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9 pages