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Enumerating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>D</mml:mi> <mml:mn>4</mml:mn> </mml:msub></mml:math> quartics and a Galois group bias over function fields
We give an asymptotic formula for the number of D 4 quartic extensions of a function field with discriminant equal to some bound, essentially reproducing the analogous result over number fields due Cohen, Diaz y Diaz, and Olivier, but with a stronger error term. We also study the relative density …