Determinant formulas for class numbers in function fields

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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.
Publisher
AMER MATHEMATICAL SOC
Issue Date
2005
Language
English
Article Type
Article
Keywords

RELATIVE CLASS NUMBER; CYCLOTOMIC FUNCTION-FIELDS; STICKELBERGER IDEALS; UNITS

Citation

MATHEMATICS OF COMPUTATION, v.74, no.250, pp.953 - 965

ISSN
0025-5718
URI
http://hdl.handle.net/10203/87579
Appears in Collection
MA-Journal Papers(저널논문)
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