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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
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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 $ 2$.

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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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