Anton Deitmar, Mark Pavey
Published 2006-05-04Version 1
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.
Comments: LATeX, 24 pages
Simultaneous indivisibility of class numbers of pairs of real quadratic fields
Distribution of class numbers in continued fraction families of real quadratic fields
The shape of quartic fields
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