Edit Profile (opens in new tab) Li, Ziming Co-Author Distance Author ID: li.ziming Published as: Li, Ziming; Li, Z. Homepage: http://www.mmrc.iss.ac.cn/~zmli/ External Links: MGP · ResearchGate Documents Indexed: 39 Publications since 1989, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 33 Co-Authors with 36 Joint Publications 1,024 Co-Co-Authors all top 5 Co-Authors 4 single-authored 9 Chen, Shaoshi 6 Du, Hao 5 Chyzak, Frédéric 4 Bostan, Alin 4 Wu, Min 3 Feng, Ruyong 3 Fu, Guofeng 3 Guo, Jing 3 Schwarz, Fritz 3 Zheng, Dabin 2 Gao, Xiaoshan 2 Halás, Miroslav 2 Huang, Hui 2 Kauers, Manuel 2 Kotta, Ulle 2 Nemes, István 2 Salvy, Bruno 2 Singer, Michael F. 2 Tsarev, Sergej Petrovich 2 Wang, Huaifu 1 Abramov, Sergeĭ Aleksandrovich 1 Bronstein, Manuel Eric 1 Gao, Yiman 1 Geddes, Keith O. 1 Labahn, George 1 Le, Ha 1 Sit, William Yu 1 Wang, Dongming 1 Wong, Elaine 1 Xin, Guoce 1 Yokoyama, Kazuhiro 1 Yuan, Chunming 1 Zhang, Yi all top 5 Serials 5 Journal of Symbolic Computation 3 Journal of Systems Science and Complexity 3 ACM Communications in Computer Algebra 1 Systems & Control Letters 1 Journal of Systems Science and Mathematical Sciences 1 Systems Science and Mathematical Sciences 1 Chinese Science Bulletin 1 Journal of Mathematical Sciences (New York) 1 Annals of Mathematics and Artificial Intelligence 1 Lecture Notes Series on Computing all top 5 Fields 30 Computer science (68-XX) 11 Field theory and polynomials (12-XX) 9 Special functions (33-XX) 6 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 3 Difference and functional equations (39-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 191 times in 119 Documents Cited by ▼ Year ▼ Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 17 2010 A modified Abramov-Petkovsek reduction and creative telescoping for hypergeometric terms. Zbl 1346.68277 Chen, Shaoshi; Huang, Hui; Kauers, Manuel; Li, Ziming 15 2015 Coherent, regular and simple systems in zero decompositions of partial differential systems. Zbl 1094.13545 Li, Ziming; Wang, Dongming 14 1999 A subresultant theory for Ore polynomials with applications. Zbl 0922.16015 Li, Ziming 13 1998 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 13 2013 On the existence of telescopers for mixed hypergeometric terms. Zbl 1303.33024 Chen, Shaoshi; Chyzak, Frédéric; Feng, Ruyong; Fu, Guofeng; Li, Ziming 10 2015 Picard-Vessiot extensions for linear functional systems. Zbl 1360.12005 Bronstein, Manuel; Li, Ziming; Wu, Min 10 2005 Ore polynomial rings in one variable in computer algebra. Zbl 1127.16302 Abramov, S. A.; Le, H. Q.; Li, Z. 10 2005 Submersive rational difference systems and their accessibility. Zbl 1237.93043 Halás, Miroslav; Kotta, Ülle; Li, Ziming; Wang, Huaifu; Yuan, Chunming 9 2009 On the structure of compatible rational functions. Zbl 1323.68590 Chen, Shaoshi; Feng, Ruyong; Fu, Guofeng; Li, Ziming 7 2011 Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002 Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 7 2003 Differential rational normal forms and a reduction algorithm for hyperexponential functions. Zbl 1134.33328 Geddes, Keith; Le, Ha; Li, Ziming 6 2004 Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682 Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 6 2002 A modular algorithm for computing greatest common right divisors of Ore polynomials. Zbl 0927.16043 Li, Ziming; Nemes, István 5 1997 Finding roots of unity among quotients of the roots of an integral polynomial. Zbl 0924.11103 Yokoyama, Kazuhiro; Li, Ziming; Nemes, István 5 1995 Apparent singularities of D-finite systems. Zbl 1427.13036 Chen, Shaoshi; Kauers, Manuel; Li, Ziming; Zhang, Yi 5 2019 A recursive method for determining the one-dimensional submodules of Laurent-Ore modules. Zbl 1356.12012 Li, Ziming; Singer, Michael F.; Wu, Min; Zheng, Dabin 5 2006 Parallel telescoping and parameterized Picard-Vessiot theory. Zbl 1325.68269 Chen, Shaoshi; Feng, Ruyong; Li, Ziming; Singer, Michael F. 4 2014 Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007 Li, Ziming; Schwarz, Fritz 4 2001 The Ore-Sato theorem and shift exponents in the \(q\)-difference case. Zbl 1408.33030 Du, Hao; Li, Ziming 4 2019 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1323.68585 Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Li, Ziming 4 2012 Hyperexponential solutions of finite-rank ideals in orthogonal Ore rings. Zbl 1134.16306 Labahn, George; Li, Ziming 3 2004 Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory. Zbl 1226.93044 Fu, Guofeng; Halás, Miroslav; Kotta, Ülle; Li, Ziming 3 2011 An additive decomposition in logarithmic towers and beyond. Zbl 07300065 Du, Hao; Guo, Jing; Li, Ziming; Wong, Elaine 3 2020 Mechanical theorem proving in the local theory of surfaces. Zbl 0855.68091 Li, Ziming 2 1995 Transforming linear functional systems into fully integrable systems. Zbl 1252.68357 Li, Ziming; Wu, Min 2 2012 Additive decompositions in primitive extensions. Zbl 1467.12001 Chen, Shaoshi; Du, Hao; Li, Ziming 2 2018 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1308.68161 Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 Testing linear dependence of hyperexponential elements. Zbl 1315.68293 Li, Ziming; Wu, Min; Zheng, Dabin 1 2007 A \(q\)-analogue of the modified Abramov-Petkovšek reduction. Zbl 1405.33020 Du, Hao; Huang, Hui; Li, Ziming 1 2018 An additive decomposition in logarithmic towers and beyond. Zbl 07300065 Du, Hao; Guo, Jing; Li, Ziming; Wong, Elaine 3 2020 Apparent singularities of D-finite systems. Zbl 1427.13036 Chen, Shaoshi; Kauers, Manuel; Li, Ziming; Zhang, Yi 5 2019 The Ore-Sato theorem and shift exponents in the \(q\)-difference case. Zbl 1408.33030 Du, Hao; Li, Ziming 4 2019 Additive decompositions in primitive extensions. Zbl 1467.12001 Chen, Shaoshi; Du, Hao; Li, Ziming 2 2018 A \(q\)-analogue of the modified Abramov-Petkovšek reduction. Zbl 1405.33020 Du, Hao; Huang, Hui; Li, Ziming 1 2018 A modified Abramov-Petkovsek reduction and creative telescoping for hypergeometric terms. Zbl 1346.68277 Chen, Shaoshi; Huang, Hui; Kauers, Manuel; Li, Ziming 15 2015 On the existence of telescopers for mixed hypergeometric terms. Zbl 1303.33024 Chen, Shaoshi; Chyzak, Frédéric; Feng, Ruyong; Fu, Guofeng; Li, Ziming 10 2015 Parallel telescoping and parameterized Picard-Vessiot theory. Zbl 1325.68269 Chen, Shaoshi; Feng, Ruyong; Li, Ziming; Singer, Michael F. 4 2014 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 13 2013 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1323.68585 Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Li, Ziming 4 2012 Transforming linear functional systems into fully integrable systems. Zbl 1252.68357 Li, Ziming; Wu, Min 2 2012 On the structure of compatible rational functions. Zbl 1323.68590 Chen, Shaoshi; Feng, Ruyong; Fu, Guofeng; Li, Ziming 7 2011 Some remarks on Kähler differentials and ordinary differentials in nonlinear control theory. Zbl 1226.93044 Fu, Guofeng; Halás, Miroslav; Kotta, Ülle; Li, Ziming 3 2011 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1308.68161 Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 17 2010 Submersive rational difference systems and their accessibility. Zbl 1237.93043 Halás, Miroslav; Kotta, Ülle; Li, Ziming; Wang, Huaifu; Yuan, Chunming 9 2009 Testing linear dependence of hyperexponential elements. Zbl 1315.68293 Li, Ziming; Wu, Min; Zheng, Dabin 1 2007 A recursive method for determining the one-dimensional submodules of Laurent-Ore modules. Zbl 1356.12012 Li, Ziming; Singer, Michael F.; Wu, Min; Zheng, Dabin 5 2006 Picard-Vessiot extensions for linear functional systems. Zbl 1360.12005 Bronstein, Manuel; Li, Ziming; Wu, Min 10 2005 Ore polynomial rings in one variable in computer algebra. Zbl 1127.16302 Abramov, S. A.; Le, H. Q.; Li, Z. 10 2005 Differential rational normal forms and a reduction algorithm for hyperexponential functions. Zbl 1134.33328 Geddes, Keith; Le, Ha; Li, Ziming 6 2004 Hyperexponential solutions of finite-rank ideals in orthogonal Ore rings. Zbl 1134.16306 Labahn, George; Li, Ziming 3 2004 Factoring systems of linear PDEs with finite-dimensional solution spaces. Zbl 1086.12002 Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 7 2003 Factoring zero-dimensional ideals of linear partial differential operators. Zbl 1072.68682 Li, Ziming; Schwarz, Fritz; Tsarev, Serguei P. 6 2002 Rational solutions of Riccati-like partial differential equations. Zbl 0985.34007 Li, Ziming; Schwarz, Fritz 4 2001 Coherent, regular and simple systems in zero decompositions of partial differential systems. Zbl 1094.13545 Li, Ziming; Wang, Dongming 14 1999 A subresultant theory for Ore polynomials with applications. Zbl 0922.16015 Li, Ziming 13 1998 A modular algorithm for computing greatest common right divisors of Ore polynomials. Zbl 0927.16043 Li, Ziming; Nemes, István 5 1997 Finding roots of unity among quotients of the roots of an integral polynomial. Zbl 0924.11103 Yokoyama, Kazuhiro; Li, Ziming; Nemes, István 5 1995 Mechanical theorem proving in the local theory of surfaces. Zbl 0855.68091 Li, Ziming 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 144 Authors 12 Chen, Shaoshi 9 Gao, Xiaoshan 9 Kotta, Ulle 9 Li, Ziming 8 Feng, Ruyong 8 Kauers, Manuel 6 Gerdt, Vladimir Petrovich 6 Schneider, Carsten 5 Giesbrecht, Mark W. 5 Halás, Miroslav 5 Labahn, George 5 Singer, Michael F. 5 Wang, Ronghua 4 Belikov, Juri 4 Bostan, Alin 4 Koutschan, Christoph 4 Rueda, Sonia L. 4 Salvy, Bruno 3 Hou, Qinghu 3 Huang, Hui 3 Lange-Hegermann, Markus 3 Robertz, Daniel 3 Schwarz, Fritz 3 Wu, Min 3 Zhang, Yi 3 Zurro, María-Angeles 2 Arreche, Carlos E. 2 Bächler, Thomas 2 Barkatou, Moulay A. 2 Blümlein, Johannes 2 Boulier, François 2 Chen, Yufu 2 Cheng, Howard 2 Cluzeau, Thomas 2 Du, Hao 2 Du, Lixin 2 Dubickas, Artūras 2 Fu, Guofeng 2 Hardouin, Charlotte 2 Jaroschek, Maximilian 2 Kotta, Palle 2 Lemaire, François 2 Lu, Wei 2 Ocansey, Evans Doe 2 Raab, Clemens G. 2 Rosenkranz, Markus 2 Shemyakova, Ekaterina 2 Tõnso, Maris 2 van der Hoeven, Joris 2 Yuan, Chunming 2 Zhang, Mingbo 2 Zhong, Michael X. X. 2 Zima, Eugene V. 1 Ablinger, Jakob 1 Abramov, Sergeĭ Aleksandrovich 1 Anguelova, Milena 1 Bartosiewicz, Zbigniew 1 Beckermann, Bernhard 1 Chaolu, Temuer 1 Chiang, Yik-Man 1 Ching, Avery 1 Chyzak, Frédéric 1 Csajbók, Bence 1 Dumont, Louis 1 El-Hajj, Ali 1 Feng, Jishe 1 Feng, Shuang 1 Flajolet, Philippe 1 Gao, Xiaolu 1 Gao, Yiman 1 Geiselmann, Willi 1 Gerdzhikov, Vladimir Stefanov 1 Grigor’ev, Dmitriĭ Yur’evich 1 Guo, Jing 1 Guo, Zewang 1 Haraldson, Joseph 1 Jing, Pang 1 Jiu, Lin 1 Kaldmäe, Arvo 1 Kaltofen, Erich L. 1 Kelmendi, Edon 1 Kim, Myung Sub 1 Korporal, Anja 1 Kostov, Nikolay A. 1 Kostova, Zoia 1 Kreso, Dijana 1 Kuriki, Satoshi 1 La Scala, Roberto 1 Lairez, Pierre 1 Lallemand, Joseph 1 Lascoux, Alain 1 Leibak, Alar 1 Li, Guangwei 1 Li, Guojie 1 Li, Hongbo 1 Li, Wei 1 Luo, Yong 1 Lyakhov, Dmitry A. 1 Michels, Dominik Ludewig 1 Morales-Ruiz, Juan José ...and 44 more Authors all top 5 Cited in 39 Serials 36 Journal of Symbolic Computation 9 Journal of Systems Science and Complexity 5 Advances in Applied Mathematics 3 International Journal of Control 3 Journal of Algebra 3 Applicable Algebra in Engineering, Communication and Computing 2 Mathematics of Computation 2 Automatica 2 Kybernetika 2 Systems & Control Letters 2 Science in China. Series A 2 Journal of Mathematical Sciences (New York) 2 Foundations of Computational Mathematics 2 Mathematics in Computer Science 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Journal of Multivariate Analysis 1 Mathematische Annalen 1 Programming and Computer Software 1 Siberian Mathematical Journal 1 Acta Applicandae Mathematicae 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 International Journal of Robust and Nonlinear Control 1 Selecta Mathematica. New Series 1 Annals of Mathematics and Artificial Intelligence 1 Journal of Difference Equations and Applications 1 Annales Henri Poincaré 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Logical Methods in Computer Science 1 Proceedings of the Estonian Academy of Sciences 1 ACM Communications in Computer Algebra 1 Bulletin of Mathematical Sciences all top 5 Cited in 35 Fields 49 Computer science (68-XX) 35 Field theory and polynomials (12-XX) 28 Special functions (33-XX) 17 Commutative algebra (13-XX) 14 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 13 Systems theory; control (93-XX) 12 Number theory (11-XX) 10 Numerical analysis (65-XX) 9 Combinatorics (05-XX) 7 Associative rings and algebras (16-XX) 6 Difference and functional equations (39-XX) 5 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year