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Creative telescoping for rational functions using the griffiths

https://doi.org/10.1145/2465506.2465935
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities
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The diagonal of a D-finite power series is D-finite
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A holonomic systems approach to special functions identities
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Multi-variable Zeilberger and Almkvist–Zeilberger algorithms and the sharpening of Wilf–Zeilberger theory
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The computational challenge of enumerating high-dimensional rook walks
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Essentially optimal computation of the inverse of generic polynomial matrices
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An extension of Zeilberger's fast algorithm to general holonomic functions
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The method of creative telescoping
inferredcites →https://doi.org/10.1145/1837934.1837975openalex-snapshot
Complexity of creative telescoping for bivariate rational functions
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Telescopers for rational and algebraic functions via residues
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An algorithm of constructing the integral of a module--an infinite dimensional analog of Gröbner basis
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On the Zeta Function of a Hypersurface: II
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On the Periods of Certain Rational Integrals: I
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Picard-Fuchs equations and mirror maps for hypersurfaces
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Bounding Picard numbers of surfaces using p-adic cohomology

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Faster Multivariate Integration in D-Modules
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On Standard Young Tableaux of Bounded Height
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Background and Fundamental Concepts
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The Recurrence Case in One Variable
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The Differential Case in One Variable
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Operators
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Summation and Integration
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Creative Telescoping for Holonomic Functions
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Telescopers for differential forms with one parameter
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Constructing reductions for creative telescoping
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A diagrammatic approach to the AJ Conjecture
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Asymptotic Lattice Path Enumeration Using Diagonals
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Linear Differential Equations as a Data Structure
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Algorithms for minimal Picard–Fuchs operators of Feynman integrals
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Algorithm for differential equations for Feynman integrals in general dimensions
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A unified reduction for hypergeometric and q-hypergeometric creative telescoping
inferred← citeshttps://doi.org/10.1016/j.aam.2022.102389openalex-snapshot
Constructing minimal telescopers for rational functions in three discrete variables
inferred← citeshttps://doi.org/10.1016/j.aam.2023.102568openalex-snapshot
Polynomial reduction for holonomic sequences and applications in π-series and congruences
inferred← citeshttps://doi.org/10.1016/j.ejc.2016.05.011openalex-snapshot
Tableau sequences, open diagrams, and Baxter families
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On some combinatorial sequences associated to invariant theory
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Multiple binomial sums
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Algebraic diagonals and walks: Algorithms, bounds, complexity
inferred← citeshttps://doi.org/10.1016/j.jsc.2017.07.005openalex-snapshot
Reduction-based creative telescoping for fuchsian D-finite functions
inferred← citeshttps://doi.org/10.1016/j.jsc.2020.01.001openalex-snapshot
Effective coefficient asymptotics of multivariate rational functions via semi-numerical algorithms for polynomial systems
inferred← citeshttps://doi.org/10.1016/j.jsc.2020.08.006openalex-snapshot
On the existence of telescopers for rational functions in three variables
inferred← citeshttps://doi.org/10.1016/j.jsc.2021.07.005openalex-snapshot
Efficient rational creative telescoping
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Reduction-based creative telescoping for definite summation of D-finite functions
inferred← citeshttps://doi.org/10.1016/j.jsc.2026.102569openalex-snapshot
Faster multivariate integration in D-modules
inferred← citeshttps://doi.org/10.1088/1751-8121/aae0c0openalex-snapshot
Diagonals of rational functions, pullbacked 2 F 1 hypergeometric functions and modular forms
inferred← citeshttps://doi.org/10.1090/mcom/3054openalex-snapshot
Computing periods of rational integrals
inferred← citeshttps://doi.org/10.1090/mcom/3947openalex-snapshot
Effective homology and periods of complex projective hypersurfaces
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On a class of hypergeometric diagonals
inferred← citeshttps://doi.org/10.1109/synasc.2015.9openalex-snapshot
Creative Telescoping via Hermite Reduction
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A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms
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New Bounds for Hypergeometric Creative Telescoping
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Reduction-Based Creative Telescoping for Algebraic Functions
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Efficient Algorithms for Mixed Creative Telscoping
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Symbolic-Numeric Tools for Analytic Combinatorics in Several Variables
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Additive Decompositions in Primitive Extensions
inferred← citeshttps://doi.org/10.1145/3208976.3208992openalex-snapshot
Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions
inferred← citeshttps://doi.org/10.1145/3326229.3326262openalex-snapshot
Computing the Volume of Compact Semi-Algebraic Sets
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A Reduction Approach to Creative Telescoping
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Computer Algebra in the Service of Enumerative Combinatorics
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Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions
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Mahler Discrete Residues and Summability for Rational Functions
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Beating binary powering for polynomial matrices
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Polynomial reduction for q-holonomic sequences
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Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry
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Plea for Diagonals and Telescopers of Rational Functions
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A Baxter class of a different kind, and other bijective results using tableau sequences ending with a row shape
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Diagonals of rational functions in physics
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Analytic Combinatorics in Several Variables : Effective Asymptotics and Lattice Path Enumeration
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