Edit Profile van Hoeij, Mark Compute Distance To: Compute Author ID: van-hoeij.mark Published as: Van Hoeij, M.; Van Hoeij, Mark; van Hoeij, M.; van Hoeij, Mark Documents Indexed: 63 Publications since 1994, including 1 Book all top 5 Co-Authors 14 single-authored 5 Abramov, Sergeĭ Aleksandrovich 5 Novocin, Andrew 3 Bostan, Alin 3 Cha, Yongjae 3 Imamoglu, Erdal 3 Kauers, Manuel 3 Klüners, Jürgen 3 Levy, Giles 3 Weil, Jacques-Arthur 2 Barkatou, Moulay A. 2 Chyzak, Frédéric 2 Cluzeau, Thomas 2 Deconinck, Bernard 2 Fullwood, James 2 Kunwar, Vijay Jung 2 Monagan, Michael B. 2 Pech, Lucien 2 Szutkoski, Jonas 2 Vidunas, Raimundas 1 Ablinger, Jakob 1 Allem, Luiz Emilio 1 Belabas, Karim 1 Blümlein, Johannes 1 Bobenko, Alexander Ivanovich 1 Burger, Reinhold 1 Capaverde, Juliane G. 1 Chen, Shaoshi 1 Corless, Robert Malcolm 1 Cremona, John E. 1 De Freitas, Abilio 1 Derickx, Maarten 1 Fang, TingTing 1 Giesbrecht, Mark W. 1 Hart, William E. 1 Heil, Matthias 1 Kotsireas, Ilias S. 1 Koutschan, Christoph 1 Labahn, George 1 Pal, Vivek 1 Petkovšek, Marko 1 Raab, Clemens G. 1 Radu, Cristian-Silviu 1 Ragot, Jean-François 1 Schmies, Markus 1 Schneider, Carsten 1 Steel, Allan K. 1 Ulmer, Felix 1 van der Hoeven, Joris 1 van der Put, Marius 1 Watt, Stephen Michael 1 Yuan, Quan all top 5 Serials 11 Journal of Symbolic Computation 3 Journal of Algebra 3 Journal de Théorie des Nombres de Bordeaux 2 Journal of Pure and Applied Algebra 2 Applicable Algebra in Engineering, Communication and Computing 2 Communications in Number Theory and Physics 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 European Journal of Combinatorics 1 Physica D 1 Algorithmica 1 Indagationes Mathematicae. New Series 1 Integral Transforms and Special Functions 1 Séminaire Lotharingien de Combinatoire 1 ACM Communications in Computer Algebra all top 5 Fields 38 Computer science (68-XX) 18 Number theory (11-XX) 17 Ordinary differential equations (34-XX) 13 Special functions (33-XX) 11 Algebraic geometry (14-XX) 10 Field theory and polynomials (12-XX) 10 Numerical analysis (65-XX) 8 Difference and functional equations (39-XX) 6 Commutative algebra (13-XX) 4 Combinatorics (05-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 55 Publications have been cited 541 times in 369 Documents Cited by ▼ Year ▼ Factorization of differential operators with rational functions coefficients. Zbl 0886.68082van Hoeij, Mark 35 1997 Finite singularities and hypergeometric solutions of linear recurrence equations. Zbl 0933.39041van Hoeij, Mark 34 1999 Rational parametrizations of algebraic curves using a canonical divisor. Zbl 0878.68073van Hoeij, Mark 32 1997 The complete generating function for Gessel walks is algebraic. Zbl 1206.05013Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 30 2010 Factoring polynomials and the knapsack problem. Zbl 1081.11080van Hoeij, Mark 26 2002 Computing Riemann matrices of algebraic curves. Zbl 1054.14079Deconinck, Bernard; van Hoeij, Mark 25 2001 Computing Riemann theta functions. Zbl 1092.33018Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 24 2004 Rational solutions of linear difference equations. Zbl 0919.65088van Hoeij, Mark 24 1998 An algorithm for computing an integral basis in an algebraic function field. Zbl 0834.68059van Hoeij, Mark 22 1994 Formal solutions and factorization of differential operators with power series coefficients. Zbl 0924.12005van Hoeij, Mark 18 1997 Towards factoring bivariate approximate polynomials. Zbl 1356.13030Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M. 17 2001 An algorithm for computing invariants of differential Galois groups. Zbl 0871.68106van Hoeij, Mark; Weil, Jacques-Arthur 17 1997 Rational solutions to the mixed differential equation and its application to factorization of differential operators. Zbl 0916.34015van Hoeij, Mark 16 1996 Liouvillian solutions of linear differential equations of order three and higher. Zbl 0997.12011van Hoeij, Mark; Ragot, Jean-François; Ulmer, Felix; Weil, Jacques-Arthur 15 1999 Belyi functions for hyperbolic hypergeometric-to-Heun transformations. Zbl 1332.33036van Hoeij, Mark; Vidūnas, Raimundas 13 2015 Factoring polynomials over global fields. Zbl 1254.11116Belabas, Karim; van Hoeij, Mark; Klüners, Jürgen; Steel, Allan 13 2009 An algorithm for computing the Weierstrass normal form. Zbl 0917.14034van Hoeij, Mark 13 1995 Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien 12 2017 Computing hypergeometric solutions of linear recurrence equations. Zbl 1102.65132Cluzeau, Thomas; van Hoeij, Mark 10 2006 Gonality of the modular curve \(X_1(N)\). Zbl 1305.14012Derickx, Maarten; van Hoeij, Mark 9 2014 Integration of solutions of linear functional equations. Zbl 0939.34059Abramov, Sergei A.; van Hoeij, Mark 9 1999 Descent for differential modules and skew fields. Zbl 1157.12004van Hoeij, Mark; van der Put, Marius 8 2006 Apparent singularities of linear difference equations with polynomial coefficients. Zbl 1106.39002Abramov, S. A.; Barkatou, M. A.; van Hoeij, M. 7 2006 Computing parametrizations of rational algebraic curves. Zbl 0916.14029van Hoeij, Mark 7 1994 Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C. 6 2018 The Ising model: from elliptic curves to modular forms and Calabi-Yau equations. Zbl 1208.82006Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 6 2011 Finding all Bessel type solutions for linear differential equations with rational function coefficients. Zbl 1321.68545van Hoeij, Mark; Yuan, Quan 6 2010 Solving third order linear differential equations in terms of second order equations. Zbl 1190.65110van Hoeij, Mark 6 2007 Solving second order linear differential equations with Klein’s theorem. Zbl 1360.34178van Hoeij, M.; Weil, J.-A. 6 2005 Second order differential equations with hypergeometric solutions of degree three. Zbl 1360.34007Kunwar, Vijay Jung; van Hoeij, Mark 5 2013 Generating subfields. Zbl 1278.11111van Hoeij, Mark; Klüners, Jürgen; Novocin, Andrew 5 2013 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 5 2011 A modular GCD algorithm over number fields presented with multiple extensions. Zbl 1072.68705van Hoeij, Mark; Monagan, Michael 5 2002 Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases. Zbl 1375.65097Imamoglu, Erdal; van Hoeij, Mark 4 2017 Gradual sub-lattice reduction and a new complexity for factoring polynomials. Zbl 1191.11035van Hoeij, Mark; Novocin, Andrew 4 2010 Solving conics over functions fields. Zbl 1129.11053van Hoeij, Mark; Cremona, John 4 2006 The set of poles of solutions of linear difference equations with polynomial coefficients. Zbl 1076.39002Abramov, S. A.; van Hoeij, M. 4 2003 A method for the integration of solutions to Ore equations. Zbl 0919.34011Abramov, Sergei A.; van Hoeij, Mark 4 1997 Practical polynomial factoring in polynomial time. Zbl 1323.68603Hart, William; van Hoeij, Mark; Novocin, Andrew 3 2011 Solving recurrence relations using local invariants. Zbl 1321.11124Cha, Yongjae; van Hoeij, Mark; Levy, Giles 3 2010 Liouvillian solutions of irreducible second order linear difference equations. Zbl 1321.68544van Hoeij, Mark; Levy, Giles 3 2010 Liouvillian solutions of irreducible linear difference equations. Zbl 1237.39001Cha, Yongjae; van Hoeij, Mark 3 2009 A modular algorithm for computing the exponential solutions of a linear differential operator. Zbl 1137.13312Cluzeau, Thomas; van Hoeij, Mark 3 2005 Closed form solutions of linear ODEs having elliptic function coefficients. Zbl 1134.34300Burger, Reinhold; Labahn, George; van Hoeij, Mark 3 2004 Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions. Zbl 1346.68288Imamoglu, Erdal; van Hoeij, Mark 2 2015 On stringy invariants of GUT vacua. Zbl 1295.81138Fullwood, James; van Hoeij, Mark 2 2013 Gradual sub-lattice reduction and a new complexity for factoring polynomials. Zbl 1236.68303van Hoeij, Mark; Novocin, Andrew 2 2012 \(2\)-descent for second order linear differential equations. Zbl 1323.68595Fang, Tingting; van Hoeij, Mark 2 2011 Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. Zbl 1232.39001Abramov, S. A.; Barkatou, M. A.; Van Hoeij, M.; Petkovšek, M. 2 2011 Algorithms for polynomial GCD computation over algebraic function fields. Zbl 1134.12305van Hoeij, Mark; Monagan, Michael 2 2004 Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph 1 2018 Isomorphisms of algebraic number fields. Zbl 1282.11142van Hoeij, Mark; Pal, Vivek 1 2012 Generating subfields. Zbl 1323.12003van Hoeij, Mark; Klüners, Jürgen; Novocin, Andrew 1 2011 Solving linear recurrence equations. Zbl 1308.68162Cha, Yongjae; van Hoeij, Mark; Levy, Giles 1 2010 Decomposing a 4th order linear differential equation as a symmetric product. Zbl 1030.34008van Hoeij, Mark 1 2002 Iterated elliptic and hypergeometric integrals for Feynman diagrams. Zbl 1394.81164Ablinger, J.; Blümlein, J.; De Freitas, A.; van Hoeij, M.; Imamoglu, E.; Raab, C. G.; Radu, C.-S.; Schneider, C. 6 2018 Reduction-based creative telescoping for Fuchsian D-finite functions. Zbl 1379.68363Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph 1 2018 Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien 12 2017 Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases. Zbl 1375.65097Imamoglu, Erdal; van Hoeij, Mark 4 2017 Belyi functions for hyperbolic hypergeometric-to-Heun transformations. Zbl 1332.33036van Hoeij, Mark; Vidūnas, Raimundas 13 2015 Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions. Zbl 1346.68288Imamoglu, Erdal; van Hoeij, Mark 2 2015 Gonality of the modular curve \(X_1(N)\). Zbl 1305.14012Derickx, Maarten; van Hoeij, Mark 9 2014 Second order differential equations with hypergeometric solutions of degree three. Zbl 1360.34007Kunwar, Vijay Jung; van Hoeij, Mark 5 2013 Generating subfields. Zbl 1278.11111van Hoeij, Mark; Klüners, Jürgen; Novocin, Andrew 5 2013 On stringy invariants of GUT vacua. Zbl 1295.81138Fullwood, James; van Hoeij, Mark 2 2013 Gradual sub-lattice reduction and a new complexity for factoring polynomials. Zbl 1236.68303van Hoeij, Mark; Novocin, Andrew 2 2012 Isomorphisms of algebraic number fields. Zbl 1282.11142van Hoeij, Mark; Pal, Vivek 1 2012 The Ising model: from elliptic curves to modular forms and Calabi-Yau equations. Zbl 1208.82006Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 6 2011 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 5 2011 Practical polynomial factoring in polynomial time. Zbl 1323.68603Hart, William; van Hoeij, Mark; Novocin, Andrew 3 2011 \(2\)-descent for second order linear differential equations. Zbl 1323.68595Fang, Tingting; van Hoeij, Mark 2 2011 Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. Zbl 1232.39001Abramov, S. A.; Barkatou, M. A.; Van Hoeij, M.; Petkovšek, M. 2 2011 Generating subfields. Zbl 1323.12003van Hoeij, Mark; Klüners, Jürgen; Novocin, Andrew 1 2011 The complete generating function for Gessel walks is algebraic. Zbl 1206.05013Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 30 2010 Finding all Bessel type solutions for linear differential equations with rational function coefficients. Zbl 1321.68545van Hoeij, Mark; Yuan, Quan 6 2010 Gradual sub-lattice reduction and a new complexity for factoring polynomials. Zbl 1191.11035van Hoeij, Mark; Novocin, Andrew 4 2010 Solving recurrence relations using local invariants. Zbl 1321.11124Cha, Yongjae; van Hoeij, Mark; Levy, Giles 3 2010 Liouvillian solutions of irreducible second order linear difference equations. Zbl 1321.68544van Hoeij, Mark; Levy, Giles 3 2010 Solving linear recurrence equations. Zbl 1308.68162Cha, Yongjae; van Hoeij, Mark; Levy, Giles 1 2010 Factoring polynomials over global fields. Zbl 1254.11116Belabas, Karim; van Hoeij, Mark; Klüners, Jürgen; Steel, Allan 13 2009 Liouvillian solutions of irreducible linear difference equations. Zbl 1237.39001Cha, Yongjae; van Hoeij, Mark 3 2009 Solving third order linear differential equations in terms of second order equations. Zbl 1190.65110van Hoeij, Mark 6 2007 Computing hypergeometric solutions of linear recurrence equations. Zbl 1102.65132Cluzeau, Thomas; van Hoeij, Mark 10 2006 Descent for differential modules and skew fields. Zbl 1157.12004van Hoeij, Mark; van der Put, Marius 8 2006 Apparent singularities of linear difference equations with polynomial coefficients. Zbl 1106.39002Abramov, S. A.; Barkatou, M. A.; van Hoeij, M. 7 2006 Solving conics over functions fields. Zbl 1129.11053van Hoeij, Mark; Cremona, John 4 2006 Solving second order linear differential equations with Klein’s theorem. Zbl 1360.34178van Hoeij, M.; Weil, J.-A. 6 2005 A modular algorithm for computing the exponential solutions of a linear differential operator. Zbl 1137.13312Cluzeau, Thomas; van Hoeij, Mark 3 2005 Computing Riemann theta functions. Zbl 1092.33018Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 24 2004 Closed form solutions of linear ODEs having elliptic function coefficients. Zbl 1134.34300Burger, Reinhold; Labahn, George; van Hoeij, Mark 3 2004 Algorithms for polynomial GCD computation over algebraic function fields. Zbl 1134.12305van Hoeij, Mark; Monagan, Michael 2 2004 The set of poles of solutions of linear difference equations with polynomial coefficients. Zbl 1076.39002Abramov, S. A.; van Hoeij, M. 4 2003 Factoring polynomials and the knapsack problem. Zbl 1081.11080van Hoeij, Mark 26 2002 A modular GCD algorithm over number fields presented with multiple extensions. Zbl 1072.68705van Hoeij, Mark; Monagan, Michael 5 2002 Decomposing a 4th order linear differential equation as a symmetric product. Zbl 1030.34008van Hoeij, Mark 1 2002 Computing Riemann matrices of algebraic curves. Zbl 1054.14079Deconinck, Bernard; van Hoeij, Mark 25 2001 Towards factoring bivariate approximate polynomials. Zbl 1356.13030Corless, Robert M.; Giesbrecht, Mark W.; van Hoeij, Mark; Kotsireas, Ilias S.; Watt, Stephen M. 17 2001 Finite singularities and hypergeometric solutions of linear recurrence equations. Zbl 0933.39041van Hoeij, Mark 34 1999 Liouvillian solutions of linear differential equations of order three and higher. Zbl 0997.12011van Hoeij, Mark; Ragot, Jean-François; Ulmer, Felix; Weil, Jacques-Arthur 15 1999 Integration of solutions of linear functional equations. Zbl 0939.34059Abramov, Sergei A.; van Hoeij, Mark 9 1999 Rational solutions of linear difference equations. Zbl 0919.65088van Hoeij, Mark 24 1998 Factorization of differential operators with rational functions coefficients. Zbl 0886.68082van Hoeij, Mark 35 1997 Rational parametrizations of algebraic curves using a canonical divisor. Zbl 0878.68073van Hoeij, Mark 32 1997 Formal solutions and factorization of differential operators with power series coefficients. Zbl 0924.12005van Hoeij, Mark 18 1997 An algorithm for computing invariants of differential Galois groups. Zbl 0871.68106van Hoeij, Mark; Weil, Jacques-Arthur 17 1997 A method for the integration of solutions to Ore equations. Zbl 0919.34011Abramov, Sergei A.; van Hoeij, Mark 4 1997 Rational solutions to the mixed differential equation and its application to factorization of differential operators. Zbl 0916.34015van Hoeij, Mark 16 1996 An algorithm for computing the Weierstrass normal form. Zbl 0917.14034van Hoeij, Mark 13 1995 An algorithm for computing an integral basis in an algebraic function field. Zbl 0834.68059van Hoeij, Mark 22 1994 Computing parametrizations of rational algebraic curves. Zbl 0916.14029van Hoeij, Mark 7 1994 all cited Publications top 5 cited Publications all top 5 Cited by 422 Authors 22 van Hoeij, Mark 20 Abramov, Sergeĭ Aleksandrovich 11 Kauers, Manuel 11 Pérez-Díaz, Sonia 11 Raschel, Kilian 10 Sendra, Juan Rafael 9 Bostan, Alin 9 Koepf, Wolfram A. 9 Schneider, Carsten 9 Singer, Michael F. 9 Weil, Jacques-Arthur 8 Ulmer, Felix 8 van der Put, Marius 7 Klein, Christian 6 Abd-Elhameed, Waleed Mohamed 6 Barkatou, Moulay A. 6 Deconinck, Bernard 6 Frauendiener, Jörg 6 Khmelnov, Dennis E. 5 Chen, Shaoshi 5 Chèze, Guillaume 5 Cluzeau, Thomas 5 Compoint, Elie 5 Feng, Ruyong 5 Koutschan, Christoph 5 Lávička, Miroslav 5 Lecerf, Grégoire 5 Sendra, Juana 5 van der Hoeven, Joris 4 Bogatyrev, Andrei Borisovich 4 Bousquet-Mélou, Mireille 4 Feng, Yong 4 Gheffar, Amal 4 Hardouin, Charlotte 4 Kurkova, Irina A. 4 Maillard, Jean-Marie 4 Mishna, Marni 4 Petkovšek, Marko 4 Salvy, Bruno 4 Shen, Liyong 4 Vidunas, Raimundas 4 Vršek, Jan 4 Weimann, Martin 3 Blümlein, Johannes 3 Dreyfus, Thomas 3 El Kahoui, M’hammed 3 Gao, Xiaoshan 3 Grigor’ev, O. A. 3 He, Yang-Hui Evariste 3 Ishkhanyan, Artur Michaĭlovich 3 Klüners, Jürgen 3 Malagón, Camilo Sanabria 3 Melczer, Stephen 3 Ovchinnikov, Alexey Igorevich 3 Poteaux, Adrien 3 Rueda, Sonia L. 3 Ryabenko, Anna A. 3 Schost, Éric 3 Steel, Allan K. 3 Tcheutia, Daniel Duviol 3 Top, Jaap 3 Wu, Wenyuan 3 Zhang, Jingzhong 3 Zhang, Yi 2 Abdelaziz, Y. 2 Aparicio-Monforte, Ainhoa 2 Beck, Tobias 2 Belabas, Karim 2 Böhm, Janko 2 Chaggara, Hamza 2 Chen, Jingwei 2 Chyzak, Frédéric 2 Decker, Wolfram 2 Derickx, Maarten 2 Divasón, Jose 2 Doha, Eid H. 2 Drmota, Michael 2 Duhr, Claude 2 Echi, Nadhem 2 Esole, Mboyo 2 Everitt, William Norrie 2 Fieker, Claus 2 Galligo, André 2 Garoufalidis, Stavros 2 Guttmann, Anthony John 2 Hauser, Herwig 2 Heinle, Albert 2 Imamoglu, Erdal 2 Ishkhanyan, T. A. 2 Jensen, Iwan 2 Joosten, Sebastiaan J. C. 2 Kaltofen, Erich L. 2 Labrande, Hugo 2 Laplagne, Santiago 2 Le, Hai Quoc 2 Levandovskyy, Viktor 2 Li, Ziming 2 Littlejohn, Lance L. 2 Markett, Clemens 2 Melas, Evangelos ...and 322 more Authors all top 5 Cited in 100 Serials 68 Journal of Symbolic Computation 18 Mathematics of Computation 13 Programming and Computer Software 13 Applicable Algebra in Engineering, Communication and Computing 11 Advances in Applied Mathematics 10 Journal of Algebra 10 Theoretical Computer Science 9 Journal of Computational and Applied Mathematics 9 Computer Aided Geometric Design 7 Journal of Combinatorial Theory. Series A 7 Journal of High Energy Physics 6 Journal of Mathematical Analysis and Applications 6 Journal of Systems Science and Complexity 5 Linear Algebra and its Applications 5 Foundations of Computational Mathematics 5 Computational Methods and Function Theory 5 Journal of Physics A: Mathematical and Theoretical 4 Applied Mathematics and Computation 4 Journal of Number Theory 4 Journal of Pure and Applied Algebra 4 Physica D 4 Mathematics in Computer Science 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Journal of Differential Equations 3 Proceedings of the American Mathematical Society 3 Journal of Complexity 3 Indagationes Mathematicae. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal de Théorie des Nombres de Bordeaux 3 Journal of Mathematical Sciences (New York) 3 Finite Fields and their Applications 3 Journal of Difference Equations and Applications 3 Annals of Combinatorics 3 Journal of Algebra and its Applications 2 Discrete Mathematics 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Mathematische Annalen 2 European Journal of Combinatorics 2 Journal of Automated Reasoning 2 SIAM Journal on Discrete Mathematics 2 Computational Mathematics and Mathematical Physics 2 Experimental Mathematics 2 The Electronic Journal of Combinatorics 2 Integral Transforms and Special Functions 2 The Ramanujan Journal 2 LMS Journal of Computation and Mathematics 2 Advances in Difference Equations 2 Proceedings of the Steklov Institute of Mathematics 2 Advances in High Energy Physics 2 Science China. Mathematics 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Nonlinearity 1 Nuclear Physics. B 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Algorithmica 1 Discrete & Computational Geometry 1 Applied Mathematics Letters 1 Science in China. Series A 1 International Journal of Mathematics 1 International Journal of Computational Geometry & Applications 1 Designs, Codes and Cryptography 1 Combinatorics, Probability and Computing 1 Kyushu Journal of Mathematics 1 Mathematical Problems in Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Revista Matemática Complutense 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Integers 1 Journal of Nonlinear Mathematical Physics 1 Algebraic & Geometric Topology 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Chebyshevskiĭ Sbornik 1 Communications in Mathematical Analysis 1 ACM Communications in Computer Algebra 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 ISRN Applied Mathematics 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 46 Fields 117 Computer science (68-XX) 88 Algebraic geometry (14-XX) 76 Field theory and polynomials (12-XX) 64 Ordinary differential equations (34-XX) 59 Number theory (11-XX) 58 Special functions (33-XX) 58 Numerical analysis (65-XX) 52 Commutative algebra (13-XX) 36 Combinatorics (05-XX) 29 Difference and functional equations (39-XX) 20 Functions of a complex variable (30-XX) 16 Quantum theory (81-XX) 15 Partial differential equations (35-XX) 15 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Associative rings and algebras (16-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 2 Mathematical logic and foundations (03-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year