The tame kernel of imaginary quadratic fields with class number 2 or 3
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- by Hong You and Sheng Chen PDF
- Math. Comp. 72 (2003), 1501-1509 Request permission
Abstract:
This paper presents improved bounds for the norms of exceptional finite places of the group $K_2 O_F$, where $F$ is an imaginary quadratic field of class number 2 or 3. As an application we show that $K_{2}Z[\sqrt {-10}]=1$.References
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Additional Information
- Hong You
- Affiliation: Department of Mathematics, Harbin Institude of Technology, Harbin, Heilongjiang 150001, People’s Republic of China
- Email: hyou@hope.hit.edu.cn
- Sheng Chen
- Affiliation: Department of Mathematics, Harbin Institude of Technology, Harbin, Heilongjiang 150001, People’s Republic of China
- Received by editor(s): July 10, 2000
- Received by editor(s) in revised form: July 9, 2001, and September 26, 2001
- Published electronically: June 6, 2002
- Additional Notes: This research is supported by the National Science Foundation of China
- © Copyright 2002 American Mathematical Society
- Journal: Math. Comp. 72 (2003), 1501-1509
- MSC (2000): Primary 11R11; Secondary 11R70, 11Y40, 19C99, 19F27
- DOI: https://doi.org/10.1090/S0025-5718-02-01453-9
- MathSciNet review: 1972749