Constructing minimal telescopers for rational functions in three discrete variables

doi:10.1016/j.aam.2022.102389

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	Constructing minimal telescopers for rational functions in three discrete variables
	Chen, Shaoshi 1; Hou, Qing-Hu 2; Huang, Hui 3; Labahn, George 4; Wang, Rong -Hua 5
	2022-10-01
发表期刊	ADVANCES IN APPLIED MATHEMATICS
ISSN	0196-8858
卷号	141 页码:31
摘要	We present a new algorithm for constructing minimal tele-scop ers for rational functions in three discrete variables. This is the first discrete reduction-based algorithm that goes be-yond the bivariate case. The termination of the algorithm is guaranteed by a known existence criterion of telescopers. Our approach has the important feature that it avoids the potentially costly computation of certificates. Computational experiments are also provided so as to illustrate the efficiency of our approach. (c) 2022 Elsevier Inc. All rights reserved.
关键词	Creative telescoping Abramov reduction Symbolic summation
DOI	10.1016/j.aam.2022.102389
收录类别	SCI
语种	英语
资助项目	NSFC[11871067] ; NSFC[12288201] ; NSFC[11921001] ; NSFC[12101449] ; NSFC[NSERC RGPIN-2020-04276] ; Fund of the Youth Innovation Promotion Association, CAS[2018001] ; Natural Sciences and Engineering Research Council (NSERC) Canada[12101105] ; Fundamental Research Funds for the Central Universities[DUT20RC (3) 073] ; Natural Science Foundation of Tianjin, China[19JCQNJC14500]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000841092100001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61106
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Hui
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China 3.Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China 4.Univ Waterloo, Cheriton Sch Comp Sci, Waterloo, ON N2L 3G1, Canada 5.Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
推荐引用方式 GB/T 7714	Chen, Shaoshi,Hou, Qing-Hu,Huang, Hui,et al. Constructing minimal telescopers for rational functions in three discrete variables[J]. ADVANCES IN APPLIED MATHEMATICS,2022,141:31.
APA	Chen, Shaoshi,Hou, Qing-Hu,Huang, Hui,Labahn, George,&Wang, Rong -Hua.(2022).Constructing minimal telescopers for rational functions in three discrete variables.ADVANCES IN APPLIED MATHEMATICS,141,31.
MLA	Chen, Shaoshi,et al."Constructing minimal telescopers for rational functions in three discrete variables".ADVANCES IN APPLIED MATHEMATICS 141(2022):31.