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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
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View/Download:28/0
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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
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View/Download:105/0
  |  
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
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View/Download:67/0
  |  
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
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  |  
View/Download:125/0
  |  
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
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View/Download:170/0
  |  
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
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View/Download:113/0
  |  
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
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View/Download:82/0
  |  
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
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View/Download:100/0
  |  
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
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View/Download:79/0
  |  
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.
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  |  
View/Download:112/0
  |  
Submit date:2018/07/30
D-finite functions
Apparent singularities
Computer algebra
Ore operators