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math.LO2026
Special classes of functions
James Freitag, Léo Jimenez, Joel Nagloo
Using model theory and differential algebra, we give necessary conditions for algebraic ordinary differential equations to have a complex Pfaffian solution on some complex domain.…
math.LO2026
On the number of independent solutions of algebraic differential equations
James Freitag, Omar León Sánchez, Wei Li +1
We prove a conjecture of Kumbhakar, Roy, and Srinivasan (2024) on the classification of order one differential equations, and a conjecture of Kumbhakar and Srinivasan (2025) on hig…
math.LO2026
Categoricity and non-arithmetic Fuchsian groups
John Baldwin, Joel Nagloo
Let be a non-arithmetic Fuchsian group of the first kind with finite covolume, and let be a corresponding uniformizer. In this paper we introdu…