Biquadratic fields that embed into a quaternionic or dihedral extension have density zero and are counted by explicit asymptotics of order sqrt(X) (log X)^(1/2).
Bhargava, The density of discriminants of quartic rings and fields
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Counting biquadratic number fields with quaternionic and dihedral extensions
Biquadratic fields that embed into a quaternionic or dihedral extension have density zero and are counted by explicit asymptotics of order sqrt(X) (log X)^(1/2).