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On proportional constants of the mean value of class numbers of quadratic extensions
Author(s):
Takashi
Taniguchi
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5517-5524.
MSC (2000):
Primary 11R45, 11S90
Posted:
April 17, 2007
MathSciNet review:
2327040
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Abstract:
In this article, we give a refinement of the mean value theorem for the class number of quadratic extensions obtained by Goldfeld-Hoffstein and Datskovsky. More specifically, we determine the proportional constants of the mean value for fields that satisfy any local conditions including wild ramification at places dividing  .
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Additional Information:
Takashi
Taniguchi
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3--8--1 Komaba Megoro-ku, Tokyo 153-0041, Japan
Email:
tani@ms.u-tokyo.ac.jp
DOI:
10.1090/S0002-9947-07-04221-3
PII:
S 0002-9947(07)04221-3
Keywords:
Density theorems,
prehomogeneous vector spaces
Received by editor(s):
November 15, 2004
Received by editor(s) in revised form:
October 31, 2005
Posted:
April 17, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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