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- W2024508303 abstract "Let F be an algebraic function field of one variable having a finite field Fq with q>2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q=2 the problem has been solved under the additional hypothesis that the function field is quadratic." @default.
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- W2024508303 date "2012-02-01" @default.
- W2024508303 modified "2023-10-18" @default.
- W2024508303 title "On the classification of algebraic function fields of class number three" @default.
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- W2024508303 doi "https://doi.org/10.1016/j.disc.2011.05.014" @default.
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