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Determinant formulas for class numbers in function fields |
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| Authors: | Hwanyup Jung Sunghan Bae Jaehyun Ahn |
| Institution: | Department of Mathematics Education, Chungbuk National University, Cheongju, Chungbuk, South Korea 361-763 ; Department of Mathematics, KAIST, Daejon, South Korea 305-701 ; Department of Mathematics, Chungnam National University, Daejon, South Korea 305-764 |
| 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. |
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