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math.AG2019
Autonomous first order differential equations
Marc Paul Noordman, Marius van der Put, Jaap Top
The problem of algebraic dependence of solutions to (non-linear) first order autonomous equations over an algebraically closed field of characteristic zero is given a `complete' an…
math.AC2019
The level of pairs of polynomials
Alberto F. Boix, Marc Paul Noordman, Jaap Top
Given a polynomial with coefficients in a field of prime characteristic , it is known that there exists a differential operator that raises to its th power. We firs…