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arXiv · 1202.3965

Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems

Frank Thorne
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Abstract

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 to address it.

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Frank Thorne. 2012-02-17. Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems. https://arxiv.org/abs/1202.3965

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