Manuel Kauers

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All published works
Action Title Year Authors
+ PDF Chat Flip Graphs for Polynomial Multiplication 2025 Shaoshi Chen
Manuel Kauers
+ PDF Chat Symmetries of Dependency Quantified Boolean Formulas 2024 Clemens Hofstadler
Manuel Kauers
Martina Seidl
+ PDF Chat The $O(1/n^{85})$ Asymptotic expansion of OEIS sequence A85 2024 Shalosh B. Ekhad
Manuel Kauers
Doron Zeilberger
+ PDF Chat On the Problem of Separating Variables in Multivariate Polynomial Ideals 2024 Manfred Buchacher
Manuel Kauers
+ PDF Chat Parallel Summation in P-Recursive Extensions 2024 Shaoshi Chen
Ruyong Feng
Manuel Kauers
Xiuyun Li
+ Reduction-based creative telescoping for P-recursive sequences via integral bases 2024 Shaoshi Chen
L. Du
Manuel Kauers
Rong-Hua Wang
+ PDF Chat On the Problem of Separating Variables in Multivariate Polynomial Ideals 2024 Manfred Buchacher
Manuel Kauers
+ Some New Non-Commutative Matrix Multiplication Algorithms of Size ( <i>n, m</i> , 6) 2024 Manuel Kauers
Jakob Moosbauer
+ PDF Chat Towards a Parallel Summation Algorithm 2024 Shaoshi Chen
Ruyong Feng
Manuel Kauers
Xiuyun Li
+ Order bounds for C2-finite sequences 2023 Manuel Kauers
Philipp Nuspl
Veronika Pillwein
+ PDF Chat Flip Graphs for Matrix Multiplication 2023 Manuel Kauers
Jakob Moosbauer
+ Hermite Reduction for D-finite Functions via Integral Bases 2023 Shaoshi Chen
L. Du
Manuel Kauers
+ Transcendence Certificates for D-finite Functions 2023 Manuel Kauers
Christoph Koutschan
Thibaut Verron
+ Order bounds for $C^2$-finite sequences 2023 Manuel Kauers
Philipp Nuspl
Veronika Pillwein
+ Hermite Reduction for D-finite Functions via Integral Bases 2023 Shaoshi Chen
Lixin Du
Manuel Kauers
+ Transcendence Certificates for D-finite Functions 2023 Manuel Kauers
Christoph Koutschan
Thibaut Verron
+ Some D-finite and Some Possibly D-finite Sequences in the OEIS 2023 Manuel Kauers
Christoph Koutschan
+ Some New Non-Commutative Matrix Multiplication Algorithms of Size $(n,m,6)$ 2023 Manuel Kauers
Jakob Moosbauer
+ Hardinian Arrays 2023 Robert Dougherty-Bliss
Manuel Kauers
+ Background and Fundamental Concepts 2023 Manuel Kauers
+ The Differential Case in One Variable 2023 Manuel Kauers
+ Summation and Integration 2023 Manuel Kauers
+ Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases 2023 Shaoshi Chen
Lixin Du
Manuel Kauers
Ronghua Wang
+ PDF Chat Lonely Points in Simplices 2022 Maximilian Jaroschek
Manuel Kauers
Laura Kovács
+ Order-Degree-Height Surfaces for Linear Operators 2022 Hui Huang
Manuel Kauers
Gargi Mukherjee
+ Guessing with Little Data 2022 Manuel Kauers
Christoph Koutschan
+ A Normal Form for Matrix Multiplication Schemes 2022 Manuel Kauers
Jakob Moosbauer
+ How does the Gerrymander Sequence Continue? 2022 Manuel Kauers
Christoph Koutschan
George Spahn
+ The FBHHRBNRSSSHK-Algorithm for Multiplication in $\mathbb{Z}_2^{5\times5}$ is still not the end of the story 2022 Manuel Kauers
Jakob Moosbauer
+ Order-Degree-Height Surfaces for Linear Operators 2022 Hui Huang
Manuel Kauers
Gargi Mukherjee
+ Flip Graphs for Matrix Multiplication 2022 Manuel Kauers
Jakob Moosbauer
+ PDF Chat A Normal Form for Matrix Multiplication Schemes 2022 Manuel Kauers
Jakob Moosbauer
+ The Orbit-Sum Method for Higher Order Equations 2022 Manfred Buchacher
Manuel Kauers
+ Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions 2021 Shaoshi Chen
Lixin Du
Manuel Kauers
+ PDF Chat Walks with Small Steps in the 4D-Orthant 2021 Manfred Buchacher
Sophie Hofmanninger
Manuel Kauers
+ Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions 2021 Shaoshi Chen
Lixin Du
Manuel Kauers
+ PDF Chat Polynomial bivariate copulas of degree five: characterization and some particular inequalities 2021 Adam Šeliga
Manuel Kauers
Susanne Saminger‐Platz
Radko Mesiar
Anna Kolesárová
Erich Peter Klement
+ PDF Chat New ways to multiply 3 × 3-matrices 2020 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ Separating variables in bivariate polynomial ideals 2020 Manfred Buchacher
Manuel Kauers
Gleb Pogudin
+ Integral bases for p-recursive sequences 2020 Shaoshi Chen
Lixin Du
Manuel Kauers
Thibaut Verron
+ Good pivots for small sparse matrices 2020 Manuel Kauers
Jakob Moosbauer
+ Walks with Small Steps in the 4D-Orthant. 2020 Manfred Buchacher
Sophie Hofmanninger
Manuel Kauers
+ PDF Chat Continued Classification of 3D Lattice Models in the Positive Octant 2020 Axel Bacher
Manuel Kauers
Rika Yatchak
+ Separating Variables in Bivariate Polynomial Ideals 2020 Manfred Buchacher
Manuel Kauers
Gleb Pogudin
+ Integral P-Recursive Sequences 2020 Shaoshi Chen
Lixin Du
Manuel Kauers
Thibaut Verron
+ Counting Standard Young Tableaux With Restricted Runs 2020 Manuel Kauers
Doron Zeilberger
+ PDF Chat Good Pivots for Small Sparse Matrices 2020 Manuel Kauers
Jakob Moosbauer
+ The generating function of Kreweras walks with interacting boundaries is not algebraic 2020 Alin Bostan
Manuel Kauers
Thibaut Verron
+ Quadrant Walks Starting Outside the Quadrant 2020 Manfred Buchacher
Manuel Kauers
Amélie Trotignon
+ Walks with Small Steps in the 4D-Orthant 2020 Manfred Buchacher
Sophie Hofmanninger
Manuel Kauers
+ Separating Variables in Bivariate Polynomial Ideals 2020 Manfred Buchacher
Manuel Kauers
Gleb Pogudin
+ Asymptotic enumeration of compacted binary trees of bounded right height 2019 Antoine Genitrini
Bernhard Gittenberger
Manuel Kauers
Michael Wallner
+ A family of schemes for multiplying 3 × 3 matrices with 23 coefficient multiplications 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ PDF Chat Multivariate ore polynomials in SageMath 2019 Manuel Kauers
Marc Mezzarobba
+ New ways to multiply 3 x 3-matrices. 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ Local Search for Fast Matrix Multiplication 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ Apparent singularities of D-finite systems 2019 Shaoshi Chen
Manuel Kauers
Ziming Li
Yi Zhang
+ On the maximal minimal cube lengths in distinct DNF tautologies. 2019 Manuel Kauers
Martina Seidl
Doron Zeilberger
+ PDF Chat Local Search for Fast Matrix Multiplication 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ Local Search for Fast Matrix Multiplication 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ New ways to multiply 3 x 3-matrices 2019 Marijn J. H. Heule
Manuel Kauers
Martina Seidl
+ Lonely Points in Simplices 2019 Maximilian Jaroschek
Manuel Kauers
Laura Kovács
+ On the maximal minimal cube lengths in distinct DNF tautologies 2019 Manuel Kauers
Martina Seidl
Doron Zeilberger
+ Inhomogeneous Restricted Lattice Walks 2018 Manfred Buchacher
Manuel Kauers
+ PDF Chat A Simple Rederivation of Onsager’s Solution of the 2D Ising Model Using Experimental Mathematics 2018 Manuel Kauers
Doron Zeilberger
+ PDF Chat Short proofs for some symmetric Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ A Simple Re-Derivation of Onsager's Solution of the 2D Ising Model using Experimental Mathematics 2018 Manuel Kauers
Doron Zeilberger
+ Short Proofs for Some Symmetric Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ PDF Chat D-finite numbers 2018 Hui Huang
Manuel Kauers
+ Symmetries of Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ PDF Chat Factorization of C-Finite Sequences 2018 Manuel Kauers
Doron Zeilberger
+ PDF Chat Symmetries of Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ Inhomogeneous Restricted Lattice Walks 2018 Manfred Buchacher
Manuel Kauers
+ A Simple Re-Derivation of Onsager's Solution of the 2D Ising Model using Experimental Mathematics 2018 Manuel Kauers
Doron Zeilberger
+ Short Proofs for Some Symmetric Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ Symmetries of Quantified Boolean Formulas 2018 Manuel Kauers
Martina Seidl
+ PDF Chat Lattice walks in the octant with infinite associated groups 2017 Manuel Kauers
Ronghua Wang
+ PDF Chat Bounds for Substituting Algebraic Functions into D-finite Functions 2017 Manuel Kauers
Gleb Pogudin
+ PDF Chat Reduction-based creative telescoping for fuchsian D-finite functions 2017 Shaoshi Chen
Mark van Hoeij
Manuel Kauers
Christoph Koutschan
+ Asymptotic Enumeration of Compacted Binary Trees. 2017 Antoine Genitrini
Bernhard Gittenberger
Manuel Kauers
Michael Wallner
+ PDF Chat Some open problems related to creative telescoping 2017 Shaoshi Chen
Manuel Kauers
+ Bounds for D-finite Substitution. 2017 Manuel Kauers
Gleb Pogudin
+ Bounds for Substituting Algebraic Functions into D-finite Functions 2017 Manuel Kauers
Gleb Pogudin
+ Apparent Singularities of D-finite Systems 2017 Shaoshi Chen
Manuel Kauers
Ziming Li
Yi Zhang
+ Lattice Walks in the Octant with Infinite Associated Groups 2017 Manuel Kauers
Ronghua Wang
+ Bounds for Substituting Algebraic Functions into D-finite Functions 2017 Manuel Kauers
Gleb Pogudin
+ Hypergeometric expressions for generating functions of walks with small steps in the quarter plane 2016 Alin Bostan
Frédéric Chyzak
Mark van Hoeij
Manuel Kauers
Lucien Pech
+ PDF Chat On 3-Dimensional Lattice Walks Confined to the Positive Octant 2016 Alin Bostan
Mireille Bousquet‐Mélou
Manuel Kauers
Stephen Melczer
+ PDF Chat Reduction-Based Creative Telescoping for Algebraic Functions 2016 Shaoshi Chen
Manuel Kauers
Christoph Koutschan
+ Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane 2016 Alin Bostan
Frédéric Chyzak
Mark van Hoeij
Manuel Kauers
Lucien Pech
+ PDF Chat Hypercontractive inequalities via SOS, and the Frankl--Rödl graph 2016 Li-Yang Tan
Yuan Zhou
Ryan O’Donnell
Manuel Kauers
+ Factorization of C-finite Sequences 2016 Manuel Kauers
Doron Zeilberger
+ Reduction-Based Creative Telescoping for Fuchsian D-finite Functions 2016 Shaoshi Chen
Mark van Hoeij
Manuel Kauers
Christoph Koutschan
+ Reduction-Based Creative Telescoping for Algebraic Functions 2016 Shaoshi Chen
Manuel Kauers
Christoph Koutschan
+ PDF Chat On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n+t$ 2016 Michael Drmota
Manuel Kauers
Lukas Spiegelhofer
+ Some Open Problems related to Creative Telescoping 2016 Shaoshi Chen
Manuel Kauers
+ Factorization of C-finite Sequences 2016 Manuel Kauers
Doron Zeilberger
+ Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane 2016 Alin Bostan
Frédéric Chyzak
Mark van Hoeij
Manuel Kauers
Lucien Pech
+ Desingularization of Ore operators 2015 Shaoshi Chen
Manuel Kauers
Michael F. Singer
+ On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t 2015 Michael Drmota
Manuel Kauers
Lukas Spiegelhofer
+ PDF Chat Integral D-Finite Functions 2015 Manuel Kauers
Christoph Koutschan
+ PDF Chat A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms 2015 Shaoshi Chen
Hui Huang
Manuel Kauers
Ziming Li
+ A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms 2015 Shaoshi Chen
Hui Huang
Manuel Kauers
Ziming Li
+ Continued Classification of 3D Lattice Walks in the Positive Octant 2015 Axel Bacher
Manuel Kauers
Rika Yatchak
+ PDF Chat Walks in the Quarter Plane with Multiple Steps 2015 Manuel Kauers
Rika Yatchak
+ On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t 2015 Michael Drmota
Manuel Kauers
Lukas Spiegelhofer
+ Walks in the Quarter Plane with Multiple Steps 2014 Manuel Kauers
Rika Yatchak
+ On 3-dimensional lattice walks confined to the positive octant 2014 Alin Bostan
Mireille Bousquet‐Mélou
Manuel Kauers
Stephen Melczer
+ Bounds for D-finite closure properties 2014 Manuel Kauers
+ PDF Chat Bounds for D-finite closure properties 2014 Manuel Kauers
+ PDF Chat A generalized Apagodu-Zeilberger algorithm 2014 Shaoshi Chen
Manuel Kauers
Christoph Koutschan
+ PDF Chat On the length of integers in telescopers for proper hypergeometric terms 2014 Manuel Kauers
Lily Yen
+ Hypercontractive inequalities via SOS, and the Frankl-Rödl graph 2014 Manuel Kauers
Ryan O’Donnell
Li-Yang Tan
Yuan Zhou
+ Desingularization of Ore Operators 2014 Shaoshi Chen
Manuel Kauers
Michael F. Singer
+ Walks in the Quarter Plane with Multiple Steps 2014 Manuel Kauers
Rika Yatchak
+ On 3-dimensional lattice walks confined to the positive octant 2014 Alin Bostan
Mireille Bousquet‐Mélou
Manuel Kauers
Stephen Melczer
+ Bounds for D-finite closure properties 2014 Manuel Kauers
+ PDF Chat Hypercontractive inequalities via SOS, and the Frankl–Rödl graph 2013 Manuel Kauers
Ryan O’Donnell
Li-Yang Tan
Yuan Zhou
+ On the length of integers in telescopers for proper hypergeometric terms 2013 Manuel Kauers
Lily Yen
+ PDF Chat Desingularization explains order-degree curves for ore operators 2013 Shaoshi Chen
Maximilian Jaroschek
Manuel Kauers
Michael F. Singer
+ PDF Chat Finding hyperexponential solutions of linear ODEs by numerical evaluation 2013 Fredrik Johansson
Manuel Kauers
Marc Mezzarobba
+ Ore Polynomials in Sage 2013 Manuel Kauers
Maximilian Jaroschek
Fredrik Johansson
+ Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation 2013 Fredrik Johansson
Manuel Kauers
Marc Mezzarobba
+ PDF Chat Computer-Assisted Proofs of Some Identities for Bessel Functions of Fractional Order 2013 Stefan Gerhold
Manuel Kauers
Christoph Koutschan
Peter Paule
Carsten Schneider
Burkhard Zimmermann
+ Formal Laurent series in several variables 2013 Ainhoa Aparicio Monforte
Manuel Kauers
+ Desingularization Explains Order-Degree Curves for Ore Operators 2013 Shaoshi Chen
Maximilian Jaroschek
Manuel Kauers
Michael F. Singer
+ The Holonomic Toolkit 2013 Manuel Kauers
+ On the length of integers in telescopers for proper hypergeometric terms 2013 Manuel Kauers
Lily Yen
+ Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation 2013 Fredrik Johansson
Manuel Kauers
Marc Mezzarobba
+ Ore Polynomials in Sage 2013 Manuel Kauers
Maximilian Jaroschek
Fredrik Johansson
+ Hypercontractive inequalities via SOS, with an application to Vertex-Cover 2012 Manuel Kauers
Ryan O’Donnell
Li-Yang Tan
Yuan Zhou
+ PDF Chat Order-degree curves for hypergeometric creative telescoping 2012 Shaoshi Chen
Manuel Kauers
+ PDF Chat Telescopers for rational and algebraic functions via residues 2012 Shaoshi Chen
Manuel Kauers
Michael F. Singer
+ PDF Chat A Method for Determining the Mod-$2^k$ Behaviour of Recursive Sequences, with Applications to Subgroup Counting 2012 Manuel Kauers
Christian Krattenthaler
Thomas W. Müller
+ Trading order for degree in creative telescoping 2012 Shaoshi Chen
Manuel Kauers
+ Telescopers for Rational and Algebraic Functions via Residues 2012 Shaoshi Chen
Manuel Kauers
Michael F. Singer
+ Order-Degree Curves for Hypergeometric Creative Telescoping 2012 Shaoshi Chen
Manuel Kauers
+ Hypercontractive inequalities via SOS, and the Frankl--Rödl graph 2012 Manuel Kauers
Ryan O’Donnell
Li-Yang Tan
Yuan Zhou
+ A method for determining the mod-$2^k$ behaviour of recursive sequences, with applications to subgroup counting 2011 Manuel Kauers
Christian Krattenthaler
Thomas W. Müller
+ The concrete tetrahedron 2011 Manuel Kauers
+ PDF Chat A refined denominator bounding algorithm for multivariate linear difference equations 2011 Manuel Kauers
Carsten Schneider
+ The computational challenge of enumerating high-dimensional rook walks 2011 Manuel Kauers
Doron Zeilberger
+ PDF Chat Dominance in the family of Sugeno–Weber t-norms 2011 Manuel Kauers
Veronika Pillwein
Susanne Saminger‐Platz
+ PDF Chat Proof of George Andrews’s and David Robbins’s <i>q</i> -TSPP conjecture 2011 Christoph Koutschan
Manuel Kauers
Doron Zeilberger
+ A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations 2011 Manuel Kauers
Carsten Schneider
+ Buchberger's algorithm 2011 Bruno Buchberger
Manuel Kauers
+ Holonomic Sequences and Power Series 2011 Manuel Kauers
Peter Paule
+ Trading Order for Degree in Creative Telescoping 2011 Shaoshi Chen
Manuel Kauers
+ Hypergeometric Series 2011 Manuel Kauers
Peter Paule
+ Introduction 2011 Manuel Kauers
Peter Paule
+ A Refined Denominator Bounding Algorithm for Multivariate Linear Difference Equations 2011 Manuel Kauers
Carsten Schneider
+ A method for determining the mod-$2^k$ behaviour of recursive sequences, with applications to subgroup counting 2011 Manuel Kauers
Christian Krattenthaler
Thomas W. Müller
+ The computational challenge of enumerating high-dimensional rook walks 2010 Manuel Kauers
Doron Zeilberger
+ PDF Chat The complete generating function for Gessel walks is algebraic 2010 Alin Bostan
Manuel Kauers
+ Dominance in the family of Sugeno-Weber t-norms 2010 Manuel Kauers
Veronika Pillwein
Susanne Saminger‐Platz
+ PDF Chat Partial denominator bounds for partial linear difference equations 2010 Manuel Kauers
Carsten Schneider
+ PDF Chat When can we detect that a P-finite sequence is positive? 2010 Manuel Kauers
Veronika Pillwein
+ When can we decide that a P-finite sequence is positive? 2010 Manuel Kauers
Veronika Pillwein
+ Partial Denominator Bounds for Partial Linear Difference Equations 2010 Manuel Kauers
Carsten Schneider
+ A Proof of George Andrews' and David Robbins' $q$-TSPP Conjecture 2010 Christoph Koutschan
Manuel Kauers
Doron Zeilberger
+ When can we decide that a P-finite sequence is positive? 2010 Manuel Kauers
Veronika Pillwein
+ The computational challenge of enumerating high-dimensional rook walks 2010 Manuel Kauers
Doron Zeilberger
+ Dominance in the family of Sugeno-Weber t-norms 2010 Manuel Kauers
Veronika Pillwein
Susanne Saminger‐Platz
+ Partial Denominator Bounds for Partial Linear Difference Equations 2010 Manuel Kauers
Carsten Schneider
+ PDF Chat A non-holonomic systems approach to special function identities 2009 Frédéric Chyzak
Manuel Kauers
Bruno Salvy
+ PDF Chat Proof of Ira Gessel's lattice path conjecture 2009 Manuel Kauers
Christoph Koutschan
Doron Zeilberger
+ PDF Chat Determining the closed forms of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:msubsup><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mn>3</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:math> anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra 2009 J. Blümlein
Manuel Kauers
Sebastian Klein
Carsten Schneider
+ Algorithms in Symbolic Computation 2009 Peter Paule
Bruno Buchberger
Lena Kartashova
Manuel Kauers
Carsten Schneider
Franz Winkler
+ From Moments to Functions in Quantum Chromodynamics 2009 J. Blümlein
Manuel Kauers
S. R. Klein
Carsten Schneider
+ PDF Chat A Mathematica package for q-holonomic sequences and power series 2009 Manuel Kauers
Christoph Koutschan
+ From Moments to Functions in Quantum Chromodynamics 2009 J. Blümlein
Manuel Kauers
Sebastian Klein
Carsten Schneider
+ PDF Chat Automatic Classification of Restricted Lattice Walks 2009 Alin Bostan
Manuel Kauers
+ PDF Chat From Moments to Functions in Quantum Chromodynamics 2009 J. Blümlein
Manuel Kauers
S. R. Klein
Carsten Schneider
+ PDF Chat Fast Solvers for Dense Linear Systems 2008 Manuel Kauers
+ PDF Chat The quasi-holonomic ansatz and restricted lattice walks 2008 Manuel Kauers
Doron Zeilberger
+ Integration of algebraic functions 2008 Manuel Kauers
+ Solving difference equations whose coefficients are not transcendental 2008 Manuel Kauers
+ Computing the algebraic relations of C-finite sequences and multisequences 2008 Manuel Kauers
Burkhard Zimmermann
+ Automatic Classification of Restricted Lattice Walks 2008 Alin Bostan
Manuel Kauers
+ A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture (modulo a finite amount of routine calculations) 2008 Manuel Kauers
Christoph Koutschan
Doron Zeilberger
+ PDF Chat Experiments with a Positivity-Preserving Operator 2008 Manuel Kauers
Doron Zeilberger
+ PDF Chat Automated Proofs for Some Stirling Number Identities 2008 Manuel Kauers
Carsten Schneider
+ The Quasi-Holonomic Ansatz and Restricted Lattice Walks 2008 Manuel Kauers
Doron Zeilberger
+ A Telescoping Fibonacci Sum: 11258. 2008 Manuel Kauers
Richard Stong
+ Computer algebra for special function inequalities 2008 Manuel Kauers
+ A Computer Proof of Moll’s Log-Concavity Conjecture 2007 Manuel Kauers
Peter Paule
+ PDF Chat Summation algorithms for Stirling number identities 2007 Manuel Kauers
+ PDF Chat Symbolic summation with radical expressions 2007 Manuel Kauers
Carsten Schneider
+ An algorithm for deciding zero equivalence of nested polynomially recurrent sequences 2007 Manuel Kauers
+ Computer Algebra and Power Series with Positive Coecien ts 2007 Manuel Kauers
+ Experiments with a Positivity Preserving Operator 2007 Manuel Kauers
Doron Zeilberger
+ PDF Chat On Turán's inequality for Legendre polynomials 2006 Horst Alzer
Stefan Gerhold
Manuel Kauers
Alexandru Lupaş
+ Indefinite summation with unspecified summands 2006 Manuel Kauers
Carsten Schneider
+ PDF Chat A procedure for proving special function inequalities involving a discrete parameter 2005 Stefan Gerhold
Manuel Kauers
+ A Computer Proof of Turan's Inequality 2005 Stefan Gerhold
Manuel Kauers
+ Computer proofs for polynomial identities in arbitrary many variables 2004 Manuel Kauers
+ Computing limits of sequences 2003 Manuel Kauers
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ A holonomic systems approach to special functions identities 1990 Doron Zeilberger
42
+ An extension of Zeilberger's fast algorithm to general holonomic functions 2000 Frédéric Chyzak
33
+ Non-commutative Elimination in Ore Algebras Proves Multivariate Identities 1998 Frédéric Chyzak
Bruno Salvy
24
+ PDF Chat GFUN 1994 Bruno Salvy
Paul Zimmermann
23
+ Trading order for degree in creative telescoping 2012 Shaoshi Chen
Manuel Kauers
21
+ PDF Chat Complexity of creative telescoping for bivariate rational functions 2010 Alin Bostan
Shaoshi Chen
Frédéric Chyzak
Ziming Li
20
+ PDF Chat Order-degree curves for hypergeometric creative telescoping 2012 Shaoshi Chen
Manuel Kauers
20
+ The concrete tetrahedron 2011 Manuel Kauers
19
+ An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities 1992 Herbert S. Wilf
Doron Zeilberger
19
+ Algorithmic Manipulations and Transformations of Univariate Holonomic Functions and Sequences 2001 Christian Mallinger
19
+ PDF Chat The complete generating function for Gessel walks is algebraic 2010 Alin Bostan
Manuel Kauers
17
+ PDF Chat Advanced applications of the holonomic systems approach 2010 Christoph Koutschan
16
+ An introduction to pseudo-linear algebra 1996 Manuel Bronstein
Marko Petkovšek
16
+ Walks with small steps in the quarter plane 2008 Mireille Bousquet‐Mélou
Marni Mishna
16
+ The method of differentiating under the integral sign 1990 Gert Almkvist
Doron Zeilberger
14
+ Sharp upper bounds for the orders of the recurrences output by the Zeilberger and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-Zeilberger algorithms 2004 Mohamud Mohammed
Doron Zeilberger
14
+ Decision procedure for indefinite hypergeometric summation 1978 R. William Gosper
13
+ PDF Chat Walks in the quarter plane: Kreweras’ algebraic model 2005 Mireille Bousquet‐Mélou
13
+ PDF Chat A Fast Approach to Creative Telescoping 2010 Christoph Koutschan
13
+ Differentiably Finite Power Series 1980 Richard P. Stanley
12
+ A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants 1994 Bernhard Beckermann
George Labahn
12
+ PDF Chat Automatic Classification of Restricted Lattice Walks 2009 Alin Bostan
Manuel Kauers
12
+ Differential equations for algebraic functions 2007 Alin Bostan
Frédéric Chyzak
Bruno Salvy
Grégoire Lecerf
Éric Schost
12
+ PDF Chat Multi-variable Zeilberger and Almkvist–Zeilberger algorithms and the sharpening of Wilf–Zeilberger theory 2006 Moa Apagodu
Doron Zeilberger
12
+ A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities 1995 Peter Paule
Markus Schorn
11
+ PDF Chat Desingularization explains order-degree curves for ore operators 2013 Shaoshi Chen
Maximilian Jaroschek
Manuel Kauers
Michael F. Singer
11
+ PDF Chat Reduction-Based Creative Telescoping for Algebraic Functions 2016 Shaoshi Chen
Manuel Kauers
Christoph Koutschan
11
+ PDF Chat Apparent singularities of linear difference equations with polynomial coefficients 2006 S. A. Abramov
Moulay A. Barkatou
Mark van Hoeij
11
+ Greatest Factorial Factorization and Symbolic Summation 1995 Peter Paule
11
+ Introduction to the Theory of Algebraic Functions of One Variable 1951 Claude Chevalley
11
+ PDF Chat Reduction-based creative telescoping for fuchsian D-finite functions 2017 Shaoshi Chen
Mark van Hoeij
Manuel Kauers
Christoph Koutschan
11
+ Hypergeometric expressions for generating functions of walks with small steps in the quarter plane 2016 Alin Bostan
Frédéric Chyzak
Mark van Hoeij
Manuel Kauers
Lucien Pech
11
+ PDF Chat Two non-holonomic lattice walks in the quarter plane 2009 Marni Mishna
Andrew Rechnitzer
10
+ PDF Chat Computing periods of rational integrals 2015 Pierre Lairez
10
+ PDF Chat Hermite reduction and creative telescoping for hyperexponential functions 2013 Alin Bostan
Shaoshi Chen
Frédéric Chyzak
Ziming Li
Guoce Xin
10
+ On the Integration of Algebraic Functions 1981 James H. Davenport
10
+ PDF Chat Integral D-Finite Functions 2015 Manuel Kauers
Christoph Koutschan
10
+ Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients 1991 С. А. Абрамов
K. Yu. Kvansenko
10
+ Walks with small steps in the quarter plane 2010 Mireille Bousquet‐Mélou
Marni Mishna
9
+ Analytic Combinatorics 2009 Philippe Flajolet
Robert Sedgewick
9
+ Desingularization of linear difference operators with polynomial coefficients 1999 С. А. Абрамов
Mark van Hoeij
9
+ Desingularization of Ore operators 2015 Shaoshi Chen
Manuel Kauers
Michael F. Singer
9
+ An Algorithm for Computing an Integral Basis in an Algebraic Function Field 1994 Mark van Hoeij
9
+ Hypergeometric solutions of linear recurrences with polynomial coefficients 1992 Marko Petkovšek
9
+ PDF Chat Counting quadrant walks via Tutte's invariant method 2021 Olivier Bernardi
Mireille Bousquet‐Mélou
Kilian Raschel
9
+ Gröbner basis, integration and transcendental functions 1990 Nobuki Takayama
9
+ Ordinary Differential Equations 1945 A. T. Lonseth
E. L. Ince
9
+ The bilinear complexity and practical algorithms for matrix multiplication 2013 А. В. Смирнов
8
+ When does Zeilberger's algorithm succeed? 2003 С. А. Абрамов
8
+ Theory of Non-Commutative Polynomials 1933 Öystein Ore
8