Determinant formulas for class numbers in function fields
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- by Hwanyup Jung, Sunghan Bae and Jaehyun Ahn PDF
- Math. Comp. 74 (2005), 953-965 Request permission
Abstract:
In this paper, by extending Kucera’s idea to the function field case, we obtain several determinant formulas involving the real class number and the relative class number of any subfield of cyclotomic function fields. We also provide several examples using these determinant formulas.References
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Additional Information
- Hwanyup Jung
- Affiliation: Department of Mathematics Education, Chungbuk National University, Cheongju, Chungbuk, South Korea 361-763
- Email: hyjung@chungbuk.ac.kr
- Sunghan Bae
- Affiliation: Department of Mathematics, KAIST, Daejon, South Korea 305-701
- Email: shbae@math.kaist.ac.kr
- Jaehyun Ahn
- Affiliation: Department of Mathematics, Chungnam National University, Daejon, South Korea 305-764
- Email: jhahn@cnu.ac.kr
- Received by editor(s): July 18, 2002
- Received by editor(s) in revised form: October 1, 2003
- Published electronically: May 24, 2004
- Additional Notes: This work was supported by grant No. R01-2002-000-00151-0 from the Basic Research Program of the Korea Science and Engineering Foundation
- © Copyright 2004 American Mathematical Society
- Journal: Math. Comp. 74 (2005), 953-965
- MSC (2000): Primary 11R58, 11R60
- DOI: https://doi.org/10.1090/S0025-5718-04-01671-0
- MathSciNet review: 2114658