A note on 4-rank densities

Details A note on 4-rank densities A note on 4-rank densities

2007-03-12

arxiv.org/abs/math/0703325v1

Canad. Math. Bull. 47 (2004), no. 3, 431-438

Mathematics

Number Theory

9 pages

Scientific paper

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.

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