关于Davenport-Heilbronn定理中次项的四点看法
Four Perspectives on Secondary Terms in the Davenport-Heilbronn Theorems
摘要：
本文是作者在2011年Integers会议上演讲的扩展版本。本文讨论了三次域上的Davenport-Heilbronn定理和二次域类群中的3-挠定理中的次项。这些次要条款已被Datskovsky-Wright和Roberts，这些或密切相关的次要条款的证明是由Bhargava，Shankar和Tsimerman独立获得的;霍夫;赵;和谷口和作者。在本文中，我们讨论了这个问题的历史，并强调了用于解决这个问题的各种方法。
英文摘要：
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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