Shaoshi Chen

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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	A Unification of Zeilberger's Algorithm and Its q-Analogue	2025	Shaoshi Chen Hao Du Yiman Gao Hui Huang Ziming Li
+ PDF Chat	Bijections around Springer numbers	2024	Shaoshi Chen Li Yang Zhicong Lin Sherry H. F. Yan
+ PDF Chat	Parallel Summation in P-Recursive Extensions	2024	Shaoshi Chen Ruyong Feng Manuel Kauers Xiuyun Li
+	Reducing Hyperexponential Functions over Monomial Extensions	2024	Shaoshi Chen Hao Du Yiman Gao Ziming Li
+	Reduction-based creative telescoping for P-recursive sequences via integral bases	2024	Shaoshi Chen L. Du Manuel Kauers Rong-Hua Wang
+ PDF Chat	How to generate all possible rational Wilf-Zeilberger forms?	2024	Shaoshi Chen Christoph Koutschan Yisen Wang
+	D-finiteness, rationality, and height III: multivariate Pólya–Carlson dichotomy	2024	Jason P. Bell Shaoshi Chen Khoa D. Nguyen Umberto Zannier
+	Telescopers for differential forms with one parameter	2024	Shaoshi Chen Ruyong Feng Ziming Li Michael F. Singer Stephen M. Watt
+ PDF Chat	Towards a Parallel Summation Algorithm	2024	Shaoshi Chen Ruyong Feng Manuel Kauers Xiuyun Li
+	Hermite Reduction for D-finite Functions via Integral Bases	2023	Shaoshi Chen L. Du Manuel Kauers
+	Stability Problems on D-finite Functions	2023	Shaoshi Chen Ruyong Feng Z. Y. Guo Wei Lu
+	Hermite Reduction for D-finite Functions via Integral Bases	2023	Shaoshi Chen Lixin Du Manuel Kauers
+	D-finiteness, rationality, and height III: multivariate Pólya-Carlson dichotomy	2023	Jason P. Bell Shaoshi Chen Khoa D. Nguyen Umberto Zannier
+	Reducing Hyperexponential Functions over Monomial Extensions	2023	Shaoshi Chen Hao Du Yiman Gao Ziming Li
+	Reduction-based Creative Telescoping for P-recursive Sequences via Integral Bases	2023	Shaoshi Chen Lixin Du Manuel Kauers Ronghua Wang
+	Interview with Richard P. Stanley: The Wonderful World of Combinatorics	2022	Shaoshi Chen
+	Stability Problems in Symbolic Integration	2022	Shaoshi Chen
+ PDF Chat	Constructing minimal telescopers for rational functions in three discrete variables	2022	Shaoshi Chen Qing-Hu Hou Hui Huang George Labahn Rong-Hua Wang
+	Shift Equivalence Testing of Polynomials and Symbolic Summation of Multivariate Rational Functions	2022	Shaoshi Chen Lixin Du Hanqian Fang
+	Stability Problems in Symbolic Integration	2022	Shaoshi Chen
+ PDF Chat	Rational dynamical systems, S-units, and D-finite power series	2021	Jason P. Bell Shaoshi Chen Ehsaan Hossain
+	Separability Problems in Creative Telescoping	2021	Shaoshi Chen Ruyong Feng Pingchuan Ma Michael F. Singer
+	Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions	2021	Shaoshi Chen Lixin Du Manuel Kauers
+	Separability Problems in Creative Telescoping	2021	Shaoshi Chen Ruyong Feng Pingchuan Ma Michael F. Singer
+	Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions	2021	Shaoshi Chen Lixin Du Manuel Kauers
+	Telescopers for differential forms with one parameter	2021	Shaoshi Chen Ruyong Feng Ziming Li Michael F. Singer Stephen M. Watt
+ PDF Chat	On the existence of telescopers for rational functions in three variables	2020	Shaoshi Chen Lixin Du Rong-Hua Wang Chaochao Zhu
+	Integral bases for p-recursive sequences	2020	Shaoshi Chen Lixin Du Manuel Kauers Thibaut Verron
+	Rational dynamical systems, $S$-units, and $D$-finite power series	2020	Jason P. Bell Shaoshi Chen Ehsaan Hossain
+	Integral P-Recursive Sequences	2020	Shaoshi Chen Lixin Du Manuel Kauers Thibaut Verron
+	Additive Ore-Sato theorem	2019	Shaoshi Chen Jing Guo
+	Existence Problem of Telescopers for Rational Functions in Three Variables	2019	Shaoshi Chen Lixin Du Chaochao Zhu
+	Apparent singularities of D-finite systems	2019	Shaoshi Chen Manuel Kauers Ziming Li Yi Zhang
+	Existence Problem of Telescopers for Rational Functions in Three Variables: the Mixed Cases	2019	Shaoshi Chen Lixin Du Chaochao Zhu
+ PDF Chat	How to Generate All Possible Rational Wilf-Zeilberger Pairs?	2019	Shaoshi Chen
+	On the Existence of Telescopers for Rational Functions in Three Variables	2019	Shaoshi Chen Lixin Du Rong-Hua Wang Chaochao Zhu
+ PDF Chat	Additive Decompositions in Primitive Extensions	2018	Shaoshi Chen Hao Du Ziming Li
+	Proof of the Wilf–Zeilberger conjecture for mixed hypergeometric terms	2018	Shaoshi Chen Christoph Koutschan
+ PDF Chat	Bivariate Extensions of Abramov’s Algorithm for Rational Summation	2018	Shaoshi Chen
+	Additive Decompositions in Primitive Extensions	2018	Shaoshi Chen Hao Du Ziming Li
+	How to generate all possible rational Wilf-Zeilberger pairs?	2018	Shaoshi Chen
+ PDF Chat	Reduction-based creative telescoping for fuchsian D-finite functions	2017	Shaoshi Chen Mark van Hoeij Manuel Kauers Christoph Koutschan
+ PDF Chat	Power series with coefficients from a finite set	2017	Jason P. Bell Shaoshi Chen
+ PDF Chat	Some open problems related to creative telescoping	2017	Shaoshi Chen Manuel Kauers
+	Apparent Singularities of D-finite Systems	2017	Shaoshi Chen Manuel Kauers Ziming Li Yi Zhang
+	Bivariate Extensions of Abramov's Algorithm for Rational Summation	2017	Shaoshi Chen
+	Existence Problem of Telescopers	2016	Shaoshi Chen Qing-Hu Hou George Labahn Rong-Hua Wang
+ PDF Chat	Reduction-Based Creative Telescoping for Algebraic Functions	2016	Shaoshi Chen Manuel Kauers Christoph Koutschan
+	Power Series with Coefficients from a Finite Set	2016	Jason P. Bell Shaoshi Chen
+	Reduction-Based Creative Telescoping for Fuchsian D-finite Functions	2016	Shaoshi Chen Mark van Hoeij Manuel Kauers Christoph Koutschan
+	Existence Problem of Telescopers: Beyond the Bivariate Case	2016	Shaoshi Chen Qing-Hu Hou George Labahn Rong-Hua Wang
+	Reduction-Based Creative Telescoping for Algebraic Functions	2016	Shaoshi Chen Manuel Kauers Christoph Koutschan
+	Some Open Problems related to Creative Telescoping	2016	Shaoshi Chen Manuel Kauers
+	Desingularization of Ore operators	2015	Shaoshi Chen Manuel Kauers Michael F. Singer
+	Proof of the Wilf{Zeilberger Conjecture	2015	Shaoshi Chen Christoph Koutschan Johann Radon
+ 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
+ PDF Chat	On the existence of telescopers for mixed hypergeometric terms	2014	Shaoshi Chen Frédéric Chyzak Ruyong Feng Guofeng Fu Ziming Li
+ PDF Chat	Parallel telescoping and parameterized Picard-Vessiot theory	2014	Shaoshi Chen Ruyong Feng Ziming Li Michael F. Singer
+ PDF Chat	A generalized Apagodu-Zeilberger algorithm	2014	Shaoshi Chen Manuel Kauers Christoph Koutschan
+	On the summability of bivariate rational functions	2014	Shaoshi Chen Michael F. Singer
+	Desingularization of Ore Operators	2014	Shaoshi Chen Manuel Kauers Michael F. Singer
+	Parallel Telescoping and Parameterized Picard--Vessiot Theory	2014	Shaoshi Chen Ruyong Feng Ziming Li Michael F. Singer
+ PDF Chat	Hermite reduction and creative telescoping for hyperexponential functions	2013	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li Guoce Xin
+ PDF Chat	Desingularization explains order-degree curves for ore operators	2013	Shaoshi Chen Maximilian Jaroschek Manuel Kauers Michael F. Singer
+	On the Structure of Compatible Rational Functions	2013	Shaoshi Chen Ruyong Feng Guofeng Fu Ziming Li
+	Desingularization Explains Order-Degree Curves for Ore Operators	2013	Shaoshi Chen Maximilian Jaroschek Manuel Kauers Michael F. Singer
+	Hermite Reduction and Creative Telescoping for Hyperexponential Functions	2013	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li Guoce Xin
+ 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
+	Residues and telescopers for bivariate rational functions	2012	Shaoshi Chen Michael F. Singer
+	Trading order for degree in creative telescoping	2012	Shaoshi Chen Manuel Kauers
+	Residues and Telescopers for Rational Functions	2012	Shaoshi Chen Michael F. Singer
+	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
+	On the Summability of Bivariate Rational Functions	2012	Shaoshi Chen Michael F. Singer
+	A Note on Lipshitz's Lemma 3	2011	Shaoshi Chen Ziming Li
+ PDF Chat	On the structure of compatible rational functions	2011	Shaoshi Chen Ruyong Feng Guofeng Fu Ziming Li
+	Some applications of dierential-diere nce algebra to creative telescoping	2011	Shaoshi Chen
+	On the extension of the Duthe's conclusion	2011	Shaoshi Chen
+	Trading Order for Degree in Creative Telescoping	2011	Shaoshi Chen Manuel Kauers
+	A Note on Lipshitz's Lemma 3	2011	Shaoshi Chen Ziming Li
+	Quelques applications de l'algèbre différentielle et aux différences pour le télescopage créatif	2011	Shaoshi Chen
+	Rational-functions telescopers	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li
+ PDF Chat	Complexity of creative telescoping for bivariate rational functions	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li
+	A Multiplicative Form of Multivariate Hyperexponential-Hypergeometric Functions	2010	Shaoshi Chen Ziming Li Inria Paris-Rocquencourt

Common Coauthors

Coauthor	Papers Together
Manuel Kauers	32
Michael F. Singer	16
Ruyong Feng	12
Ziming Li	12
Ziming Li	9
Lixin Du	9
Christoph Koutschan	7
Jason P. Bell	6
Rong-Hua Wang	6
Frédéric Chyzak	5
Chaochao Zhu	4
Alin Bostan	4
Hui Huang	4
Qing-Hu Hou	3
Yiman Gao	3
Hao Du	3
Guofeng Fu	3
George Labahn	3
Maximilian Jaroschek	2
Ehsaan Hossain	2
Umberto Zannier	2
L. Du	2
Mark van Hoeij	2
Guoce Xin	2
Stephen M. Watt	2
Thibaut Verron	2
Lixin Du	2
Pingchuan Ma	2
Yi Zhang	1
Zhicong Lin	1
Christoph Koutschan	1
Yisen Wang	1
Wei Lu	1
Sherry H. F. Yan	1
Yi Zhang	1
Khoa D. Nguyen	1
Inria Paris-Rocquencourt	1
Xiuyun Li	1
Ziming Li	1
Xiuyun Li	1
Ziming Li	1
Hao Du	1
Ronghua Wang	1
Z. Y. Guo	1
Li Yang	1
Hao Du	1
Johann Radon	1
Khoa D. Nguyen	1
Jing Guo	1
Hanqian Fang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A holonomic systems approach to special functions identities	1990	Doron Zeilberger	35
+	An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities	1992	Herbert S. Wilf Doron Zeilberger	31
+ PDF Chat	Complexity of creative telescoping for bivariate rational functions	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li	27
+	When does Zeilberger's algorithm succeed?	2003	С. А. Абрамов	23
+	The method of differentiating under the integral sign	1990	Gert Almkvist Doron Zeilberger	22
+	Decision procedure for indefinite hypergeometric summation	1978	R. William Gosper	20
+	An extension of Zeilberger's fast algorithm to general holonomic functions	2000	Frédéric Chyzak	18
+	Non-commutative Elimination in Ore Algebras Proves Multivariate Identities	1998	Frédéric Chyzak Bruno Salvy	17
+	Applicability of the <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>-analogue of Zeilberger’s algorithm	2004	William Y. C. Chen Qing-Hu Hou Yan-Ping Mu	17
+ PDF Chat	Sur l'intégration des fractions rationnelles	1872	Ch. Hermite	16
+ PDF Chat	Reduction-Based Creative Telescoping for Algebraic Functions	2016	Shaoshi Chen Manuel Kauers Christoph Koutschan	16
+	Greatest Factorial Factorization and Symbolic Summation	1995	Peter Paule	15
+	A criterion for the applicability of Zeilberger's algorithm to rational functions	2002	С. А. Абрамов H. Q. Le	14
+ PDF Chat	Hermite reduction and creative telescoping for hyperexponential functions	2013	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li Guoce Xin	14
+	On the structure of multivariate hypergeometric terms	2002	С. А. Абрамов Marko Petkovšek	14
+	Residues and telescopers for bivariate rational functions	2012	Shaoshi Chen Michael F. Singer	14
+ PDF Chat	A non-holonomic systems approach to special function identities	2009	Frédéric Chyzak Manuel Kauers Bruno Salvy	13
+	An introduction to pseudo-linear algebra	1996	Manuel Bronstein Marko Petkovšek	13
+	On the Integration of Algebraic Functions	1981	James H. Davenport	12
+	An algorithm for deciding the summability of bivariate rational functions	2014	Qing-Hu Hou Rong-Hua Wang	12
+ PDF Chat	Creative telescoping for rational functions using the griffiths	2013	Alin Bostan Pierre Lairez Bruno Salvy	12
+	On the summability of bivariate rational functions	2014	Shaoshi Chen Michael F. Singer	12
+	Trading order for degree in creative telescoping	2012	Shaoshi Chen Manuel Kauers	11
+	Univariate Ore Polynomial Rings in Computer Algebra	2005	С. А. Абрамов H. Q. Le Z. Li	11
+ PDF Chat	Multi-variable Zeilberger and Almkvist–Zeilberger algorithms and the sharpening of Wilf–Zeilberger theory	2006	Moa Apagodu Doron Zeilberger	11
+	Introduction to the Theory of Algebraic Functions of One Variable	1951	Claude Chevalley	11
+ PDF Chat	Computing periods of rational integrals	2015	Pierre Lairez	11
+ PDF Chat	A Fast Approach to Creative Telescoping	2010	Christoph Koutschan	11
+	D-finite power series	1989	Leonard Lipshitz	10
+	Differentiably Finite Power Series	1980	Richard P. Stanley	10
+ PDF Chat	Reduction-based creative telescoping for fuchsian D-finite functions	2017	Shaoshi Chen Mark van Hoeij Manuel Kauers Christoph Koutschan	10
+ PDF Chat	Telescopers for rational and algebraic functions via residues	2012	Shaoshi Chen Manuel Kauers Michael F. Singer	10
+	Differential equations for algebraic functions	2007	Alin Bostan Frédéric Chyzak Bruno Salvy Grégoire Lecerf Éric Schost	10
+ PDF Chat	Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note	1990	Mikio Sato Takuro Shintani	10
+	Rational Normal Forms and Minimal Decompositions of Hypergeometric Terms	2002	С. А. Абрамов Marko Petkovšek	9
+	Sur la forme des fonctions hypergéométriques de plusieurs variables	1930	Öystein Ore	9
+ PDF Chat	Order-degree curves for hypergeometric creative telescoping	2012	Shaoshi Chen Manuel Kauers	9
+	Liouvillian first integrals of second order polynomial differential equations	1999	Colin Christopher	9
+ PDF Chat	On the existence of telescopers for mixed hypergeometric terms	2014	Shaoshi Chen Frédéric Chyzak Ruyong Feng Guofeng Fu Ziming Li	9
+	None	2001	H. Q. Le	8
+	Differential Algebra and Algebraic Groups	2012	E. R. Kolchin	8
+ PDF Chat	Apparent singularities of linear difference equations with polynomial coefficients	2006	S. A. Abramov Moulay A. Barkatou Mark van Hoeij	8
+ PDF Chat	The automatic construction of pure recurrence relations	1974	Pierre Verbaeten	8
+ PDF Chat	A generalized Apagodu-Zeilberger algorithm	2014	Shaoshi Chen Manuel Kauers Christoph Koutschan	8
+	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	7
+ PDF Chat	Rational functions certify combinatorial identities	1990	Herbert S. Wilf Doron Zeilberger	7
+	None	1998	Henryk Żołądek	7
+ PDF Chat	Parameterized Telescoping Proves Algebraic Independence of Sums	2010	Carsten Schneider	7
+	An approach to the zero recognition problem by Buchberger algorithm	1992	Nobuki Takayama	7
+ PDF Chat	Advanced applications of the holonomic systems approach	2010	Christoph Koutschan	7