Solving Order 3 Difference Equations
Rings and Algebras
2025-10-10 v3 Commutative Algebra
Abstract
We classify order linear difference operators over that are solvable in terms of lower order difference operators. To prove this result, we introduce the notion of absolute irreducibility for difference modules, and classify (for arbitrary order) modules that are irreducible but not absolutely irreducible.
Keywords
Cite
@article{arxiv.2402.03868,
title = {Solving Order 3 Difference Equations},
author = {Heba Bou KaedBey and Mark van Hoeij and Man Cheung Tsui},
journal= {arXiv preprint arXiv:2402.03868},
year = {2025}
}
Comments
22 pages, added examples (Section 5.1), removed section 8, moved Mackey's formula to Appendix B, added Appendix C