On proportional constants of the mean value of class numbers of quadratic extensions
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- by Takashi Taniguchi PDF
- Trans. Amer. Math. Soc. 359 (2007), 5517-5524 Request permission
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 $2$.References
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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
- Received by editor(s): November 15, 2004
- Received by editor(s) in revised form: October 31, 2005
- Published electronically: April 17, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 5517-5524
- MSC (2000): Primary 11R45, 11S90
- DOI: https://doi.org/10.1090/S0002-9947-07-04221-3
- MathSciNet review: 2327040