Solutions to arithmetic differential equations in algebraically closed\n fields

2019/10/31 by Alexandru Buium, Buium, Alexandru, Lance Edward Miller +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1911.00112

openalex publication_date 2019/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the main examples in the theory of algebraic differential\nequations possess a remarkable total differential overconvergence property.\nThis allows one to consider solutions to these equations with coordinates in\nalgebraically closed fields.\n

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