2024/03/28 by Matthias Aschenbrenner, Lou van den Dries, Aschenbrenner, Matthias +3 · 1 citation
Mathematics · #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.2403.19732
We define the universal exponential extension of an algebraically closed differential field and investigate its properties in the presence of a nice valuation and in connection with linear differential equations. Next we prove normalization theorems for algebraic differential equations over H-fields, as a tool in solving such equations in suitable extensions. The results in this monograph are essential in our work on Hardy fields in [6].