Edit Profile (opens in new tab) Bostan, Alin Compute Distance To: Compute Author ID: bostan.alin Published as: Bostan, Alin; Bostan, A. External Links: MGP Documents Indexed: 71 Publications since 2003, including 1 Book 1 Contribution as Editor · 1 Further Contribution Co-Authors: 62 Co-Authors with 70 Joint Publications 1,018 Co-Co-Authors all top 5 Co-Authors 2 single-authored 23 Schost, Éric 22 Salvy, Bruno 13 Chyzak, Frédéric 7 Maillard, Jean-Marie 6 Boukraa, Salah 5 Hassani, Saoud 5 Weil, Jacques-Arthur 4 Jeannerod, Claude-Pierre 4 Kauers, Manuel 4 Li, Ziming 4 Raschel, Kilian 4 Zenine, Nadjah 3 Caruso, Xavier 3 Cluzeau, Thomas 3 Dumas, Philippe 3 Dumont, Louis 3 Lairez, Pierre 3 Lecerf, Grégoire 3 van Hoeij, Mark 2 Bousquet-Mélou, Mireille 2 Chen, Shaoshi 2 Chowdhury, Muhammad F. I. 2 Christol, Gilles 2 Combot, Thierry 2 Gaudry, Pierrick 2 Guttmann, Anthony John 2 Krick, Teresa 2 Melczer, Stephen 2 Pech, Lucien 2 Safey El Din, Mohab 2 Szántó, Ágnes 2 Valdettaro, Marcelo 2 Yurkevich, Sergey V. 1 Abarenkova, Nina 1 Andrejić, Vladica 1 Berthomieu, Jérémy 1 Broutin, Nicolas 1 Chamizo Lorente, Fernando 1 Chapoton, Frédéric 1 Chèze, Guillaume 1 Collette, Virginie 1 D’Andrea, Carlos 1 de Panafieu, Elie 1 Ferguson, Andrew L. 1 Flajolet, Philippe 1 Jensen, Iwan 1 Jiménez-Pastor, Antonio 1 Kurkova, Irina A. 1 Le Roux, Nicolas 1 Lebreton, Romain 1 Marynych, Alexander V. 1 Morain, François 1 Mouilleron, Christophe 1 Ollivier, François 1 Sundqvist, Mikael Persson 1 Price, Andrew Elvey 1 Rivoal, Tanguy 1 Sedoglavic, Alexandre 1 Tatarevic, Milos 1 Tran, Khang D. 1 van der Hoeven, Joris 1 Wiebelt, B. 1 Xin, Guoce all top 5 Serials 5 Journal of Symbolic Computation 5 Journal of Physics A: Mathematical and Theoretical 3 American Mathematical Monthly 3 Proceedings of the American Mathematical Society 2 Information Processing Letters 2 Mathematics of Computation 2 Theoretical Computer Science 2 Linear Algebra and its Applications 2 ACM Communications in Computer Algebra 1 Bulletin of the London Mathematical Society 1 Gazette des Mathématiciens 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Journal of Complexity 1 SIAM Journal on Matrix Analysis and Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Electronic Journal of Combinatorics 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Number Theory 1 Advances in Mathematical Physics 1 Springer Proceedings in Mathematics & Statistics all top 5 Fields 41 Computer science (68-XX) 19 Special functions (33-XX) 13 Combinatorics (05-XX) 13 Ordinary differential equations (34-XX) 11 Field theory and polynomials (12-XX) 11 Commutative algebra (13-XX) 11 Numerical analysis (65-XX) 9 Number theory (11-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic geometry (14-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 515 times in 329 Documents Cited by ▼ Year ▼ The complete generating function for Gessel walks is algebraic. Zbl 1206.05013Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 35 2010 Non-D-finite excursions in the quarter plane. Zbl 1279.05003Bostan, Alin; Raschel, Kilian; Salvy, Bruno 31 2014 Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator. Zbl 1210.11126Bostan, Alin; Gaudry, Pierrick; Schost, Éric 31 2007 Polynomial evaluation and interpolation on special sets of points. Zbl 1101.68039Bostan, Alin; Schost, Éric 29 2005 Tellegen’s principle into practice. Zbl 1072.68649Bostan, A.; Lecerf, G.; Schost, É. 27 2003 Fast algorithms for computing isogenies between elliptic curves. Zbl 1200.11097Bostan, A.; Morain, F.; Salvy, B.; Schost, É. 24 2008 On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen 22 2016 Wronskians and linear independence. Zbl 1202.00030Bostan, Alin; Dumas, Philippe 21 2010 Automatic classification of restricted lattice walks. Zbl 1391.05026Bostan, Alin; Kauers, Manuel 21 2009 Complexity issues in bivariate polynomial factorization. Zbl 1134.68595Bostan, A.; Lecerf, G.; Salvy, B.; Schost, É.; Wiebelt, B. 20 2004 Fast computation of special resultants. Zbl 1121.13037Bostan, Alin; Flajolet, Philippe; Salvy, Bruno; Schost, Éric 18 2006 Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921Bostan, Alin; Lairez, Pierre; Salvy, Bruno 17 2013 Differential equations for algebraic functions. Zbl 1190.68085Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Lecerf, Grégoire; Schost, Éric 15 2007 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 14 2017 Fast computation of power series solutions of systems of differential equations. Zbl 1302.65180Bostan, A.; Chyzak, F.; Ollivier, F.; Salvy, B.; Schost, É.; Sedoglavic, A. 13 2007 A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006Bostan, A.; Kurkova, I.; Raschel, K. 11 2017 Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 11 2010 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. 9 2011 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 9 2013 Fast algorithms for zero-dimensional polynomial systems using duality. Zbl 1058.68122Bostan, Alin; Salvy, Bruno; Schost, Éric 9 2003 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 8 2013 Multiple binomial sums. Zbl 1351.05013Bostan, Alin; Lairez, Pierre; Salvy, Bruno 7 2017 Solving structured linear systems with large displacement rank. Zbl 1169.65023Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 7 2008 Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. Zbl 1335.34002Bostan, Alin; Chèze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur 7 2016 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 6 2009 Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves. Zbl 1119.11032Bostan, Alin; Gaudry, Pierrick; Schost, Éric 6 2004 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 6 2011 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 5 2009 Homotopy techniques for multiplication modulo triangular sets. Zbl 1239.68079Bostan, Alin; Chowdhury, Muhammad F. I.; van der Hoeven, Joris; Schost, Éric 5 2011 Products of ordinary differential operators by evaluation and interpolation. Zbl 1297.65050Bostan, Alin; Chyzak, Frédéric; Le Roux, Nicolas 5 2008 Fast algorithms for polynomial solutions of linear differential equations. Zbl 1360.68920Bostan, Alin; Cluzeau, Thomas; Salvy, Bruno 5 2005 On the least common multiple of several random integers. Zbl 1473.11155Bostan, Alin; Marynych, Alexander; Raschel, Kilian 5 2019 Complexity estimates for two uncoupling algorithms. Zbl 1360.68919Bostan, Alin; Chyzak, Frédéric; de Panafieu, Élie 4 2013 Efficient algorithms for mixed creative telscoping. Zbl 1429.68335Bostan, Alin; Dumont, Louis; Salvy, Bruno 4 2016 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 4 2015 A simple and fast algorithm for computing exponentials of power series. Zbl 1202.65031Bostan, Alin; Schost, Éric 3 2009 Low complexity algorithms for linear recurrences. Zbl 1356.65246Bostan, A.; Chyzak, F.; Salvy, B.; Cluzeau, T. 3 2006 Algorithmic efficiency for the basic operations in formal calculus. (Algorithmique efficace pour des opérations de base en calcul formel.) Zbl 1360.13003Bostan, Alin 3 2003 Solving Toeplitz- and Vandermonde-like linear systems with large displacement rank. Zbl 1190.65044Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 3 2007 A fast algorithm for computing the characteristic polynomial of the \(p\)-curvature. Zbl 1325.68265Bostan, Alin; Caruso, Xavier; Schost, Éric 3 2014 Counting walks with large steps in an orthant. Zbl 1467.05012Bostan, Alin; Bousquet-Mélou, Mireille; Melczer, Stephen 3 2021 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 3 2018 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 2 2010 Fast conversion algorithms for orthogonal polynomials. Zbl 1182.65037Bostan, Alin; Salvy, Bruno; Schost, Éric 2 2010 Subresultants in multiple roots: an extremal case. Zbl 1372.13018Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 On matrices with displacement structure: generalized operators and faster algorithms. Zbl 1371.65025Bostan, A.; Jeannerod, C.-P.; Mouilleron, C.; Schost, É. 2 2017 Algebraic diagonals and walks. Zbl 1346.68272Bostan, Alin; Dumont, Louis; Salvy, Bruno 2 2015 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1323.68585Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Li, Ziming 2 2012 Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266Bostan, Alin; Combot, Thierry; Safey El Din, Mohab 2 2014 Computation of the similarity class of the \(p\)-curvature. Zbl 1364.12006Bostan, Alin; Caruso, Xavier; Schost, Éric 1 2016 Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009Bostan, Alin; Christol, Gilles; Dumas, Philippe 1 2016 Algebraic diagonals and walks: algorithms, bounds, complexity. Zbl 1371.33037Bostan, Alin; Dumont, Louis; Salvy, Bruno 1 2017 A fast algorithm for computing the \(p\)-curvature. Zbl 1346.68271Bostan, Alin; Caruso, Xavier; Schost, Éric 1 2015 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1308.68161Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 Power series solutions of singular \((q)\)-differential equations. Zbl 1323.68586Bostan, Alin; Salvy, Bruno; Chowdhury, Muhammad F. I.; Schost, Éric; Lebreton, Romain 1 2012 Fast algorithms for differential equations in positive characteristic. Zbl 1237.68097Bostan, Alin; Schost, Éric 1 2009 On the complexities of multipoint evaluation and interpolation. Zbl 1086.68150Bostan, Alin; Schost, Éric 1 2004 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 1 2020 Counting walks with large steps in an orthant. Zbl 1467.05012Bostan, Alin; Bousquet-Mélou, Mireille; Melczer, Stephen 3 2021 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 1 2020 On the least common multiple of several random integers. Zbl 1473.11155Bostan, Alin; Marynych, Alexander; Raschel, Kilian 5 2019 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 3 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 14 2017 A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006Bostan, A.; Kurkova, I.; Raschel, K. 11 2017 Multiple binomial sums. Zbl 1351.05013Bostan, Alin; Lairez, Pierre; Salvy, Bruno 7 2017 Subresultants in multiple roots: an extremal case. Zbl 1372.13018Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 On matrices with displacement structure: generalized operators and faster algorithms. Zbl 1371.65025Bostan, A.; Jeannerod, C.-P.; Mouilleron, C.; Schost, É. 2 2017 Algebraic diagonals and walks: algorithms, bounds, complexity. Zbl 1371.33037Bostan, Alin; Dumont, Louis; Salvy, Bruno 1 2017 On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen 22 2016 Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. Zbl 1335.34002Bostan, Alin; Chèze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur 7 2016 Efficient algorithms for mixed creative telscoping. Zbl 1429.68335Bostan, Alin; Dumont, Louis; Salvy, Bruno 4 2016 Computation of the similarity class of the \(p\)-curvature. Zbl 1364.12006Bostan, Alin; Caruso, Xavier; Schost, Éric 1 2016 Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009Bostan, Alin; Christol, Gilles; Dumas, Philippe 1 2016 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 4 2015 Algebraic diagonals and walks. Zbl 1346.68272Bostan, Alin; Dumont, Louis; Salvy, Bruno 2 2015 A fast algorithm for computing the \(p\)-curvature. Zbl 1346.68271Bostan, Alin; Caruso, Xavier; Schost, Éric 1 2015 Non-D-finite excursions in the quarter plane. Zbl 1279.05003Bostan, Alin; Raschel, Kilian; Salvy, Bruno 31 2014 A fast algorithm for computing the characteristic polynomial of the \(p\)-curvature. Zbl 1325.68265Bostan, Alin; Caruso, Xavier; Schost, Éric 3 2014 Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266Bostan, Alin; Combot, Thierry; Safey El Din, Mohab 2 2014 Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921Bostan, Alin; Lairez, Pierre; Salvy, Bruno 17 2013 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 9 2013 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 8 2013 Complexity estimates for two uncoupling algorithms. Zbl 1360.68919Bostan, Alin; Chyzak, Frédéric; de Panafieu, Élie 4 2013 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1323.68585Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Li, Ziming 2 2012 Power series solutions of singular \((q)\)-differential equations. Zbl 1323.68586Bostan, Alin; Salvy, Bruno; Chowdhury, Muhammad F. I.; Schost, Éric; Lebreton, Romain 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. 9 2011 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 6 2011 Homotopy techniques for multiplication modulo triangular sets. Zbl 1239.68079Bostan, Alin; Chowdhury, Muhammad F. I.; van der Hoeven, Joris; Schost, Éric 5 2011 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1308.68161Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 The complete generating function for Gessel walks is algebraic. Zbl 1206.05013Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 35 2010 Wronskians and linear independence. Zbl 1202.00030Bostan, Alin; Dumas, Philippe 21 2010 Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 11 2010 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 2 2010 Fast conversion algorithms for orthogonal polynomials. Zbl 1182.65037Bostan, Alin; Salvy, Bruno; Schost, Éric 2 2010 Automatic classification of restricted lattice walks. Zbl 1391.05026Bostan, Alin; Kauers, Manuel 21 2009 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 6 2009 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 5 2009 A simple and fast algorithm for computing exponentials of power series. Zbl 1202.65031Bostan, Alin; Schost, Éric 3 2009 Fast algorithms for differential equations in positive characteristic. Zbl 1237.68097Bostan, Alin; Schost, Éric 1 2009 Fast algorithms for computing isogenies between elliptic curves. Zbl 1200.11097Bostan, A.; Morain, F.; Salvy, B.; Schost, É. 24 2008 Solving structured linear systems with large displacement rank. Zbl 1169.65023Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 7 2008 Products of ordinary differential operators by evaluation and interpolation. Zbl 1297.65050Bostan, Alin; Chyzak, Frédéric; Le Roux, Nicolas 5 2008 Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator. Zbl 1210.11126Bostan, Alin; Gaudry, Pierrick; Schost, Éric 31 2007 Differential equations for algebraic functions. Zbl 1190.68085Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Lecerf, Grégoire; Schost, Éric 15 2007 Fast computation of power series solutions of systems of differential equations. Zbl 1302.65180Bostan, A.; Chyzak, F.; Ollivier, F.; Salvy, B.; Schost, É.; Sedoglavic, A. 13 2007 Solving Toeplitz- and Vandermonde-like linear systems with large displacement rank. Zbl 1190.65044Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 3 2007 Fast computation of special resultants. Zbl 1121.13037Bostan, Alin; Flajolet, Philippe; Salvy, Bruno; Schost, Éric 18 2006 Low complexity algorithms for linear recurrences. Zbl 1356.65246Bostan, A.; Chyzak, F.; Salvy, B.; Cluzeau, T. 3 2006 Polynomial evaluation and interpolation on special sets of points. Zbl 1101.68039Bostan, Alin; Schost, Éric 29 2005 Fast algorithms for polynomial solutions of linear differential equations. Zbl 1360.68920Bostan, Alin; Cluzeau, Thomas; Salvy, Bruno 5 2005 Complexity issues in bivariate polynomial factorization. Zbl 1134.68595Bostan, A.; Lecerf, G.; Salvy, B.; Schost, É.; Wiebelt, B. 20 2004 Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves. Zbl 1119.11032Bostan, Alin; Gaudry, Pierrick; Schost, Éric 6 2004 On the complexities of multipoint evaluation and interpolation. Zbl 1086.68150Bostan, Alin; Schost, Éric 1 2004 Tellegen’s principle into practice. Zbl 1072.68649Bostan, A.; Lecerf, G.; Schost, É. 27 2003 Fast algorithms for zero-dimensional polynomial systems using duality. Zbl 1058.68122Bostan, Alin; Salvy, Bruno; Schost, Éric 9 2003 Algorithmic efficiency for the basic operations in formal calculus. (Algorithmique efficace pour des opérations de base en calcul formel.) Zbl 1360.13003Bostan, Alin 3 2003 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 22 Bostan, Alin 21 Schost, Éric 19 van der Hoeven, Joris 15 Harvey, David I. 15 Lecerf, Grégoire 14 Kauers, Manuel 13 Raschel, Kilian 10 Salvy, Bruno 8 Chen, Shaoshi 8 Melczer, Stephen 8 van Hoeij, Mark 7 Chèze, Guillaume 7 Dreyfus, Thomas 7 Mishna, Marni 6 Bousquet-Mélou, Mireille 6 Jeannerod, Claude-Pierre 6 Weil, Jacques-Arthur 5 Berthomieu, Jérémy 5 Blümlein, Johannes 5 De Feo, Luca 5 Hittmeir, Markus 5 Maillard, Jean-Marie 5 Singer, Michael F. 5 Sutherland, Andrew V. 5 Villard, Gilles 4 Koutschan, Christoph 4 Kurkova, Irina A. 4 Neiger, Vincent 4 Poteaux, Adrien 4 Schneider, Carsten 4 Szántó, Ágnes 4 Trotignon, Amélie 4 Weimann, Martin 3 Abramov, Sergeĭ Aleksandrovich 3 Beaton, Nicholas R. 3 Chyzak, Frédéric 3 Costa, Edgar 3 Coxon, Nicholas 3 Faugère, Jean-Charles 3 Giesbrecht, Mark W. 3 Grenet, Bruno 3 Guttmann, Anthony John 3 Hardouin, Charlotte 3 Kapusta, Joanna 3 Koiran, Pascal 3 Lairez, Pierre 3 Mustapha, Sami 3 Raab, Clemens G. 3 Rechnitzer, Andrew Daniel 3 Rosenkilde, Johan 3 Wang, Ronghua 2 Abdelaziz, Y. 2 Ablinger, Jakob 2 Arreche, Carlos E. 2 Banderier, Cyril 2 Boukraa, Salah 2 Bouvel, Mathilde 2 Bouzidi, Yacine 2 Buchacher, Manfred 2 Cao, Yanzhao 2 Chen, William Yong-Chuan 2 Cluzeau, Thomas 2 Combot, Thierry 2 Courtiel, Julien 2 Couveignes, Jean-Marc 2 Doliskani, Javad 2 Drmota, Michael 2 Galligo, André 2 Guerrini, Veronica 2 Hauser, Herwig 2 Huang, Jianfeng 2 Imamoglu, Erdal 2 Jeong, Sangtae 2 Jeronimo, Gabriela 2 Jiang, Ying 2 Klüners, Jürgen 2 Krattenthaler, Christian Friedrich 2 Krick, Teresa 2 Kudo, Momonari 2 Lauter, Kristin Estella 2 Lazard, Sylvain 2 Lebreton, Romain 2 Lercier, Reynald 2 Mezzarobba, Marc 2 Mihăilescu, Preda 2 Miret, Josep M. 2 Moody, Dustin 2 Ollivier, François 2 Owczarek, Aleksander L. 2 Pan, Victor Yakovlevich 2 Pouget, Marc 2 Regensburger, Georg 2 Rinaldi, Simone 2 Roques, Julien 2 Rosenkranz, Markus 2 Rouillier, Fabrice 2 Rybowicz, Marc 2 Safey El Din, Mohab 2 Shparlinski, Igor E. 2 Smarzewski, Ryszard ...and 327 more Authors all top 5 Cited in 104 Serials 61 Journal of Symbolic Computation 27 Mathematics of Computation 17 Journal of Complexity 10 Advances in Applied Mathematics 10 Applicable Algebra in Engineering, Communication and Computing 8 Journal of Combinatorial Theory. Series A 8 Theoretical Computer Science 7 Foundations of Computational Mathematics 6 The Electronic Journal of Combinatorics 6 LMS Journal of Computation and Mathematics 6 Mathematics in Computer Science 5 Annals of Combinatorics 4 Journal of Differential Equations 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Number Theory 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 SIAM Journal on Discrete Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Combinatorics, Probability and Computing 3 Séminaire Lotharingien de Combinatoire 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Lebesgue 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Information Processing Letters 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Proceedings of the American Mathematical Society 2 Probability Theory and Related Fields 2 Journal of Cryptology 2 Discrete Mathematics and Applications 2 Designs, Codes and Cryptography 2 Computational Mathematics and Mathematical Physics 2 Linear Algebra and its Applications 2 Computational Complexity 2 Journal de Théorie des Nombres de Bordeaux 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Mathematical Cryptology 1 International Journal of Modern Physics A 1 Acta Informatica 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 International Journal of Control 1 Journal of Fluid Mechanics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Annales de l’Institut Fourier 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Combinatorica 1 Algorithmica 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Foundations of Computer Science 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Kyushu Journal of Mathematics 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Electronic Communications in Probability 1 Bernoulli 1 Sbornik: Mathematics 1 The Ramanujan Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Revista Matemática Complutense 1 Integers 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 SIAM Journal on Applied Dynamical Systems 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Advances in Mathematics of Communications 1 Far East Journal of Mathematical Education 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Evolution Equations and Control Theory 1 Research in Number Theory ...and 4 more Serials all top 5 Cited in 42 Fields 117 Computer science (68-XX) 84 Number theory (11-XX) 70 Combinatorics (05-XX) 49 Numerical analysis (65-XX) 47 Commutative algebra (13-XX) 47 Algebraic geometry (14-XX) 41 Field theory and polynomials (12-XX) 39 Special functions (33-XX) 36 Ordinary differential equations (34-XX) 27 Probability theory and stochastic processes (60-XX) 17 Information and communication theory, circuits (94-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Functions of a complex variable (30-XX) 12 Difference and functional equations (39-XX) 10 Approximations and expansions (41-XX) 8 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Dynamical systems and ergodic theory (37-XX) 4 Group theory and generalizations (20-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year