On the 4-rank of tame kernels of quadratic number fields

Statistics of K-groups modulo p for the ring of integers of a varying quadratic number field

“…Guo [Guo09] proved that 4-ranks of K 2 (O F ) for quadratic fields F follow a Cohen-Lenstra distribution, just as Fouvry and Klüners proved for 4-ranks of Cl(O F ) [FK07]. Studying 4ranks is natural, since the 2-rank of K 2 (O F ) for a quadratic field F is determined by genus theory just as the 2-rank of Cl(O F ) is (see [BS82], for example).…”