Class Numbers of Orders in Quartic Fields

Anton Deitmar; Mark Pavey

Class Numbers of Orders in Quartic Fields

数论 2007-05-23 v1

作者: Anton Deitmar , Mark Pavey

摘要

We prove an asymptotic formula for class numbers of totlally imaginary quartic number fields, ie for number fields of degree 4 over Q with only complex embeddings. After previous work for real quadratic fields (Sarnak) and complex cubic fields (Deitmar), this is the last remaining case of number fields with unit rank one.

关键词

class number of quadratic fields quadratic forms fields

引用

@article{arxiv.math/0605111,
  title  = {Class Numbers of Orders in Quartic Fields},
  author = {Anton Deitmar and Mark Pavey},
  journal= {arXiv preprint arXiv:math/0605111},
  year   = {2007}
}

备注

LATeX, 24 pages

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