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A Note on $4$-Rank Densities

 Printed: Sep 2004
  • Robert Osburn
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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.
MSC Classifications: 11R70, 19F99, 11R11, 11R45 show english descriptions $K$-theory of global fields [See also 19Fxx]
None of the above, but in this section
Quadratic extensions
Density theorems
11R70 - $K$-theory of global fields [See also 19Fxx]
19F99 - None of the above, but in this section
11R11 - Quadratic extensions
11R45 - Density theorems

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