Fast Algorithms for Refined Parameterized Telescoping in Difference Fields

DOI10.1007/978-3-319-15081-9_10zbMath1434.39004arXiv1307.7887OpenAlexW2162674514MaRDI QIDQ2808012

Carsten Schneider

Publication date: 25 May 2016

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7887

Mathematics Subject Classification ID

Additive difference equations (39A10) Iteration theory, iterative and composite equations (39B12)

Related Items (15)

Comments on Risch’s On the Integration of Elementary Functions which are Built Up Using Algebraic Operations ⋮ Algebraic independence of sequences generated by (cyclotomic) harmonic sums ⋮ Hypergeometric structures in Feynman integrals ⋮ Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱ ⋮ Interview with Peter Paule ⋮ Representation of hypergeometric products of higher nesting depths in difference rings ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects ⋮ Minimal representations and algebraic relations for single nested products ⋮ A difference ring theory for symbolic summation ⋮ On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ A case study for \(\zeta (4)\) ⋮ Contiguous Relations and Creative Telescoping ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

This page was built for publication: Fast Algorithms for Refined Parameterized Telescoping in Difference Fields