Parametrization of the quadratic function fields whose divisor class numbers are divisible by three (Q1034283)
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scientific article; zbMATH DE number 5629525
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametrization of the quadratic function fields whose divisor class numbers are divisible by three |
scientific article; zbMATH DE number 5629525 |
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Parametrization of the quadratic function fields whose divisor class numbers are divisible by three (English)
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11 November 2009
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The authors develop the function field analog of the work \textit{P. Llorente} and \textit{E. Nart} [Proc. Am. Math. Soc. 87, 579--585 (1983; Zbl 0514.12003)] so as to parallel \textit{Y. Kishi} and \textit{K. Miyake} [J. Number Theory 80, No. 2, 209--217 (2000; Zbl 0976.11050)] to give a parametrization of quadratic function fields over finite fields whose divisor class numbers are divisible by three, under the assumption that the characteristic of the field is not three.
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quadratic function fields
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divisor class numbers
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