Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems
Frank Thorne · arXiv (Cornell University) · 2012
This paper is an expanded version of the author's lecture at the Integers Conference 2011. We discuss the secondary terms in the Davenport-Heilbronn theorems on cubic fields and 3-torsion in class groups of quadratic fields. Such secondary terms had been conjectured by Datskovsky-Wright and Roberts, and proofs of these or closely related secondary terms were obtained independently by Bhargava, Shankar, and Tsimerman, Hough, Zhao,and Taniguchi and the author. In this paper we discuss the history of the problem and highlight the diverse methods used in several papers to address it.