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Preprint Number 919

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919. Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven
Asymptotic Differential Algebra and Model Theory of Transseries

Submission date: 9 September 2015.


We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures.

Mathematics Subject Classification: 03C64, 34C07, 34E05

Keywords and phrases:

Full text arXiv 1509.02588: pdf, ps.

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