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math.AC2026
Liouvillian first integrals of differential equations: A Galoisian approach
Partha Kumbhakar, Chitrarekha Sahu, Varadharaj R. Srinivasan
Using differential Galois theory---specifically, Magid's theory of the complete Picard-Vessiot closure---we show that a system of first-order differential equations in variable…
math.AC2025
Iterated and Generalized Iterated Integrals
Chitrarekha Sahu, Matthias Seiss, Varadharaj Ravi Srinivasan
For a differential field having an algebraically closed field of constants, we analyze the structure of Picard-Vessiot extensions of whose differential Galois groups are un…