Constructing $\omega$-free Hardy fields
| Autor: | Aschenbrenner, Matthias, Dries, Lou van den, van der Hoeven, Joris |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that every Hardy field extends to an $\omega$-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [12], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his. Comment: 50 pp. arXiv admin note: substantial text overlap with arXiv:2304.10846 |
| Databáze: | arXiv |
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