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Ore Polynomials in Sage

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arxiv 1306.4263 v1 pith:P4VRDB3T submitted 2013-06-18 cs.SC math.CO

classification cs.SCmath.CO
keywords algebraspolynomialssageactionsarithmeticbasicclosurecommon
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The $\mu$-extension of iterated integrals and nested sums

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The authors construct μ-extensions of iterated integrals and nested sums over multiple alphabets, showing that they map polynomially in μ into the original function space (except for square-root cases) while preservin...

  2. Special Functions and Geometries in Scattering Amplitudes: From Particle Physics to Gravity

    hep-th 2025-06 conditional novelty 4.0 of 10

    The thesis performs the first elliptic symbol bootstrap to obtain the symbol of the two-loop twelve-point double box, and identifies the first Calabi-Yau threefold geometry in post-Minkowskian gravitational-wave integrals.

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