Error estimates for the Davenport-Heilbronn theorems
Error estimates for the Davenport-Heilbronn theorems
We obtain the first known power-saving remainder terms for the theorems of Davenport and Heilbronn on the density of discriminants of cubic fields and the mean number of 3-torsion elements in the class groups of quadratic fields. In addition, we prove analogous error terms for the density of discriminants of …