English

Iterated and Generalized Iterated Integrals

Commutative Algebra 2025-04-08 v1

Abstract

For a differential field FF having an algebraically closed field of constants, we analyze the structure of Picard-Vessiot extensions of FF 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.

Keywords

Cite

@article{arxiv.2504.04846,
  title  = {Iterated and Generalized Iterated Integrals},
  author = {Chitrarekha Sahu and Matthias Seiss and Varadharaj Ravi Srinivasan},
  journal= {arXiv preprint arXiv:2504.04846},
  year   = {2025}
}

Comments

20 pages

R2 v1 2026-06-28T22:49:05.844Z