Determinant formulas for class numbers in function fields

Authors:
Hwanyup Jung, Sunghan Bae and Jaehyun Ahn

Journal:
Math. Comp. **74** (2005), 953-965

MSC (2000):
Primary 11R58, 11R60

DOI:
https://doi.org/10.1090/S0025-5718-04-01671-0

Published electronically:
May 24, 2004

MathSciNet review:
2114658

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Abstract | References | Similar Articles | Additional Information

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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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

DOI:
https://doi.org/10.1090/S0025-5718-04-01671-0

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

Article copyright:
© Copyright 2004
American Mathematical Society