Denominator bounds for systems of recurrence equations using \(\Pi\Sigma\)-extensions

DOI10.1007/978-3-319-73232-9_7zbMath1406.39010arXiv1705.00280OpenAlexW2964036730MaRDI QIDQ1716151

Carsten Schneider, Johannes Middeke

Publication date: 29 January 2019

Full work available at URL: https://arxiv.org/abs/1705.00280

zbMATH Keywords

difference equationsOre polynomialscoupled systemsnested sumsdifference ringsdenominator boundsnested products

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Computational aspects of associative rings (general theory) (16Z05)

Related Items (3)

On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

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