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Simple differential field extensions and effective bounds

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2016) 9582 343-357
DOI: 10.1007/978-3-319-32859-1_29
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Abstract

We establish several variations on Kolchin’s differential primitive element theorem, and conjecture a generalization of Pogudin’s primitive element theorem. These results are then applied to improve the bounds for the effective Differential Lüroth theorem.

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Freitag, J., & Li, W. (2016). Simple differential field extensions and effective bounds. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9582, pp. 343–357). Springer Verlag. https://doi.org/10.1007/978-3-319-32859-1_29

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