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arxiv: 1408.1374 · v2 · pith:VI5SAK5Ynew · submitted 2014-08-06 · 🧮 math.NT · math.AG

Distribution of orders in number fields

classification 🧮 math.NT math.AG
keywords numberordersdistributionfieldsasymptoticboundedcontaineddiscriminants
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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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