Equidistribution of bounded torsion CM points

Abstract

Averaging over imaginary quadratic fields, we prove, quantitatively, the equidistribution of CM points associated to 3-torsion classes in the class group. We conjecture that this equidistribution holds for points associated to ideals of any fixed odd order. We prove a partial equidistribution result in this direction and present empirical evidence.

References in corpus (2)

• Secondary terms in counting functions for cubic fields
• The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields