Abstract
We prove that a 1-form on a zero characteristic differential field admits a first integral with a special type of transcendance (Riccati type) if and only if it admits a Godbillon–Vey sequence of length 3 on this field. To cite this article: G. Casale, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 1003–1006.
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