Constructing ω-free Hardy fields

doi:10.1007/s11854-026-0447-y

Constructing ω-free Hardy fields

2026-01-01

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Matthias Aschenbrenner *

DOI：10.1007/s11854-026-0447-y

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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 [10], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his.

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DIFFERENTIAL-EQUATIONS

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Constructing ω-free Hardy fields

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