Iterated and Generalized Iterated Integrals

2025/04/07 by Sahu, Chitrarekha, Seiss, Matthias, Srinivasan, Varadharaj Ravi
#12H05 34M50 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2504.04846

Abstract

For a differential field F having an algebraically closed field of constants, we analyze the structure of Picard-Vessiot extensions of F whose differential Galois groups are unipotent algebraic groups and apply these results to study stability problems in integration in finite terms and the inverse problem in differential Galois theory for unipotent algebraic groups.

Related

• Picard-Vessiot Extensions For Unipotent Algebraic Groups
• Iterative differential Galois theory: a model theoretic approach
• An intrinsic characterization of Picard-Vessiot extensions
• The inverse problem of differential Galois theory over the field R(z)
• A Note on Liouvillian Picard-Vessiot Extensions