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Constructing minimal telescopers for rational functions in three discrete variables 期刊论文
ADVANCES IN APPLIED MATHEMATICS, 2022, 卷号: 141, 页码: 31
Authors:  Chen, Shaoshi;  Hou, Qing-Hu;  Huang, Hui;  Labahn, George;  Wang, Rong -Hua
Favorite  |  View/Download：10/0  |  Submit date：2023/02/07
Creative telescoping  Abramov reduction  Symbolic summation  
On the existence of telescopers for rational functions in three variables 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 494-522
Authors:  Chen, Shaoshi;  Du, Lixin;  Wang, Rong-Hua;  Zhu, Chaochao
Favorite  |  View/Download：85/0  |  Submit date：2021/04/26
Creative telescoping  Existence criterion  Reduction  Telescoper  
Rational dynamical systems, S-units, and D-finite power series 期刊论文
ALGEBRA & NUMBER THEORY, 2021, 卷号: 15, 期号: 7, 页码: 1699-1728
Authors:  Bell, Jason P.;  Chen, Shaoshi;  Hossain, Ehsaan
Favorite  |  View/Download：49/0  |  Submit date：2022/04/02
S-units  D-finite series  arithmetic dynamics  algebraic groups  orbits  
Apparent singularities of D-finite systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 95, 页码: 217-237
Authors:  Chen, Shaoshi;  Kauers, Manuel;  Li, Ziming;  Zhang, Yi
Favorite  |  View/Download：108/0  |  Submit date：2020/01/10
D-finite system  Grobner basis  Ordinary point  Formal power series  Apparent singularity  Desingularization  
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 93, 页码: 133-147
Authors:  Chen, Shaoshi;  Koutschan, Christoph
Favorite  |  View/Download：147/0  |  Submit date：2019/03/11
Wilf-Zeilberger conjecture  Hypergeometric term  Properness  Holonomic function  D-finite function  Ore-Sato theorem  
Reduction-based creative telescoping for fuchsian D-finite functions 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2018, 卷号: 85, 页码: 108-127
Authors:  Chen, Shaoshi;  van Hoeij, Mark;  Kauers, Manuel;  Koutschan, Christoph
Favorite  |  View/Download：95/0  |  Submit date：2018/07/30
D-finite function  Integral basis  Trager's reduction  Telescoper  
Power series with coefficients from a finite set 期刊论文
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2017, 卷号: 151, 页码: 241-253
Authors:  Bell, Jason P.;  Chen, Shaoshi
Favorite  |  View/Download：72/0  |  Submit date：2018/07/30
Power series  Szego's theorem  D-finiteness  Integer points  
Some Open Problems Related to Creative Telescoping 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2017, 卷号: 30, 期号: 1, 页码: 154-172
Authors:  Shaoshi, Chen;  Manuel, Kauers
Favorite  |  View/Download：93/0  |  Submit date：2018/07/30
Computer algebra  creative telescoping  differential algebra  linear operators  ore algebras  symbolic integration  symbolic summation.  
someopenproblemsrelatedtocreativetelescoping 期刊论文
journalofsystemsscienceandcomplexity, 2017, 卷号: 30, 期号: 1, 页码: 154
Authors:  Chen Shaoshi;  Kauers Manuel
Favorite  |  View/Download：68/0  |  Submit date：2020/01/10
Desingularization of Ore operators 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2016, 卷号: 74, 页码: 617-626
Authors:  Chen, Shaoshi;  Kauers, Manuel;  Singer, Michael F.
Favorite  |  View/Download：102/0  |  Submit date：2018/07/30
D-finite functions  Apparent singularities  Computer algebra  Ore operators