Distribution of orders in number fields

Distribution of orders in number fields

In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integers of a quintic number field.

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Veröffentlicht in:arXiv.org 2015-04
Hauptverfasser: Kaplan, Nathan, Marcinek, Jake, Takloo-Bighash, Ramin
Format: Artikel
Sprache:eng
Schlagworte:
Number theory
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Zusammenfassung:In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integers of a quintic number field.
ISSN:2331-8422