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Painlevé Equation PII and Strongly Normal Extensions

机译:Painlevé Equation PII and Strongly Normal Extensions

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摘要

The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.

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