Ore Polynomials in Sage

Abstract

We present a Sage implementation of Ore algebras. The main features for the most common instances include basic arithmetic and actions; gcrd and lclm; D-finite closure properties; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions and (generalized) power series. This paper is a tutorial on how to use the package.

References in corpus (1)

• Desingularization Explains Order-Degree Curves for Ore Operators

Cited by in corpus (8)

• The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
• The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements
• The Three-Loop Splitting Functions $P_{qg}^{(2)}$ and $P_{gg}^{(2,N_F)}$
• The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
• The Heavy Fermion Contributions to the Massive Three Loop Form Factors
• Asymptotic lattice path enumeration using diagonals
• Nonlinear Algebra and Applications
• Desingularization of Ore Operators