Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱
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Publication:6081974
DOI10.1145/3597066.3597073arXiv2302.03563MaRDI QIDQ6081974
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Publication date: 3 November 2023
Published in: Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.03563
Cites Work
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- On the existence of telescopers for mixed hypergeometric terms
- A difference ring theory for symbolic summation
- Parameterized telescoping proves algebraic independence of sums
- Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
- Algebraic relations between harmonic sums and associated quantities.
- A refined difference field theory for symbolic summation
- Differential Galois theory of linear difference equations
- Polynomial ring automorphisms, rational \((w,\sigma )\)-canonical forms, and the assignment problem
- Theory of summation in finite terms
- A holonomic systems approach to special functions identities
- The method of creative telescoping
- Hypergeometric solutions of linear recurrences with polynomial coefficients
- Solving difference equations in finite terms
- Finite singularities and hypergeometric solutions of linear recurrence equations
- \(q\)-hypergeometric solutions of \(q\)-difference equations
- When does Zeilberger's algorithm succeed?
- On solutions of linear ordinary difference equations in their coefficient field
- Algebraic independence of sequences generated by (cyclotomic) harmonic sums
- Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects
- Representing \((q-)\)hypergeometric products and mixed versions in difference rings
- Product representations in \(\Pi\Sigma\)-fields
- Greatest factorial factorization and symbolic summation
- Multibasic and mixed hypergeometric Gosper-type algorithms
- An extension of Zeilberger's fast algorithm to general holonomic functions
- 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
- Minimal representations and algebraic relations for single nested products
- Structural theorems for symbolic summation
- Applicability of the \(q\)-analogue of Zeilberger's algorithm
- Indefinite summation with unspecified summands
- Symbolic summation assists combinatorics
- The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\)
- Fast Algorithms for Refined Parameterized Telescoping in Difference Fields
- A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- Iterated binomial sums and their associated iterated integrals
- Application of unspecified sequences in symbolic summation
- Desingularization explains order-degree curves for ore operators
- A Symbolic Summation Approach to Find Optimal Nested Sum Representations
- SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS
- Summation in Finite Terms
- Decision procedure for indefinite hypergeometric summation
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation
- Additive Decompositions in Primitive Extensions
- An additive decomposition in logarithmic towers and beyond
- Order-degree curves for hypergeometric creative telescoping
- Creative Telescoping for Holonomic Functions
- Solving Linear Recurrence Equations with Polynomial Coefficients
- On the structure of compatible rational functions
- Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
- Representation of hypergeometric products of higher nesting depths in difference rings
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