Edit Profile (opens in new tab) Bostan, Alin Co-Author Distance Author ID: bostan.alin Published as: Bostan, Alin; Bostan, A. Homepage: https://specfun.inria.fr/bostan/ External Links: MGP · Google Scholar · dblp Documents Indexed: 90 Publications since 2003, including 1 Book and 6 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 75 Co-Authors with 88 Joint Publications 1,418 Co-Co-Authors all top 5 Co-Authors 3 single-authored 24 Salvy, Bruno 24 Schost, Éric 15 Chyzak, Frédéric 8 Maillard, Jean-Marie 7 Boukraa, Salah 6 Caruso, Xavier 6 Hassani, Saoud 6 Raschel, Kilian 6 Yurkevich, Sergey V. 5 Kauers, Manuel 5 Weil, Jacques-Arthur 4 Christol, Gilles 4 Dumas, Philippe 4 Jeannerod, Claude-Pierre 4 Lairez, Pierre 4 Li, Ziming 4 Zenine, Nadjah 3 Cluzeau, Thomas 3 Dumont, Louis 3 Lecerf, Grégoire 3 Safey El Din, Mohab 3 van Hoeij, Mark 2 Bousquet-Mélou, Mireille 2 Chen, Shaoshi 2 Chowdhury, Muhammad F. I. 2 Combot, Thierry 2 Gaudry, Pierrick 2 Guttmann, Anthony John 2 Jiménez-Pastor, Antonio 2 Krick, Teresa 2 Melczer, Stephen 2 Pech, Lucien 2 Rivoal, Tanguy 2 Szántó, Ágnes 2 Tirrell, Jordan Olliver 2 Valdettaro, Marcelo 2 Westbury, Bruce W. 2 Zhang, Yi 1 Abarenkova, Nina 1 Adamczewski, Boris 1 Alsmeyer, Gerold 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 Di Vizio, Lucia 1 Ferguson, Andrew L. 1 Flajolet, Philippe 1 Jensen, Iwan 1 Kurkova, Irina A. 1 Le Roux, Nicolas 1 Lebreton, Romain 1 Marynych, Alexander V. 1 Morain, François 1 Mouilleron, Christophe 1 Neiger, Vincent 1 Notarantonio, Hadrien 1 Ollivier, François 1 Sundqvist, Mikael Persson 1 Pilaud, Vincent 1 Price, Andrew Elvey 1 Roques, Julien 1 Sedoglavic, Alexandre 1 Simon, Thomas 1 Straub, Armin 1 Tatarevic, Milos 1 Tran, Khang D. 1 van der Hoeven, Joris 1 Verron, Thibaut 1 Wiebelt, B. 1 Xin, Guoce all top 5 Serials 6 Journal of Symbolic Computation 5 Journal of Physics A: Mathematical and Theoretical 3 American Mathematical Monthly 3 Mathematics of Computation 3 Proceedings of the American Mathematical Society 3 ACM Communications in Computer Algebra 2 Information Processing Letters 2 Journal of Number Theory 2 Theoretical Computer Science 2 European Journal of Combinatorics 2 Linear Algebra and its Applications 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 1 Bulletin of the London Mathematical Society 1 Gazette des Mathématiciens 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 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 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 48 Computer science (68-XX) 22 Special functions (33-XX) 20 Combinatorics (05-XX) 15 Number theory (11-XX) 15 Ordinary differential equations (34-XX) 12 Field theory and polynomials (12-XX) 11 Commutative algebra (13-XX) 11 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Algebraic geometry (14-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-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 Order, lattices, ordered algebraic structures (06-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 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 748 times in 453 Documents Cited by ▼ Year ▼ The complete generating function for Gessel walks is algebraic. Zbl 1206.05013 Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 47 2010 Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator. Zbl 1210.11126 Bostan, Alin; Gaudry, Pierrick; Schost, Éric 44 2007 Non-D-finite excursions in the quarter plane. Zbl 1279.05003 Bostan, Alin; Raschel, Kilian; Salvy, Bruno 43 2014 Polynomial evaluation and interpolation on special sets of points. Zbl 1101.68039 Bostan, Alin; Schost, Éric 33 2005 Fast algorithms for computing isogenies between elliptic curves. Zbl 1200.11097 Bostan, A.; Morain, F.; Salvy, B.; Schost, É. 32 2008 Tellegen’s principle into practice. Zbl 1072.68649 Bostan, A.; Lecerf, G.; Schost, É. 30 2003 On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006 Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen 29 2016 Automatic classification of restricted lattice walks. Zbl 1391.05026 Bostan, Alin; Kauers, Manuel 25 2009 Fast computation of special resultants. Zbl 1121.13037 Bostan, Alin; Flajolet, Philippe; Salvy, Bruno; Schost, Éric 24 2006 Wronskians and linear independence. Zbl 1202.00030 Bostan, Alin; Dumas, Philippe 24 2010 Differential equations for algebraic functions. Zbl 1190.68085 Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Lecerf, Grégoire; Schost, Éric 23 2007 Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 23 2013 Complexity issues in bivariate polynomial factorization. Zbl 1134.68595 Bostan, A.; Lecerf, G.; Salvy, B.; Schost, É.; Wiebelt, B. 22 2004 Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013 Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien 21 2017 A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006 Bostan, A.; Kurkova, I.; Raschel, K. 18 2017 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021 Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 18 2013 Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 17 2010 Multiple binomial sums. Zbl 1351.05013 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 15 2017 Fast computation of power series solutions of systems of differential equations. Zbl 1302.65180 Bostan, A.; Chyzak, F.; Ollivier, F.; Salvy, B.; Schost, É.; Sedoglavic, A. 15 2007 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 13 2013 The Ising model: from elliptic curves to modular forms and Calabi-Yau equations. Zbl 1208.82006 Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 11 2011 Counting walks with large steps in an orthant. Zbl 1467.05012 Bostan, Alin; Bousquet-Mélou, Mireille; Melczer, Stephen 11 2021 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028 Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 10 2011 Fast algorithms for zero-dimensional polynomial systems using duality. Zbl 1058.68122 Bostan, Alin; Salvy, Bruno; Schost, Éric 10 2003 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 9 2009 Solving structured linear systems with large displacement rank. Zbl 1169.65023 Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 9 2008 On the least common multiple of several random integers. Zbl 1473.11155 Bostan, Alin; Marynych, Alexander; Raschel, Kilian 9 2019 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005 Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 8 2009 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007 Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 8 2015 Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. Zbl 1335.34002 Bostan, Alin; Chèze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur 8 2016 Complexity estimates for two uncoupling algorithms. Zbl 1360.68919 Bostan, Alin; Chyzak, Frédéric; de Panafieu, Élie 8 2013 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011 Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 8 2018 Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves. Zbl 1119.11032 Bostan, Alin; Gaudry, Pierrick; Schost, Éric 7 2004 A fast algorithm for computing the characteristic polynomial of the \(p\)-curvature. Zbl 1325.68265 Bostan, Alin; Caruso, Xavier; Schost, Éric 6 2014 Efficient algorithms for mixed creative telscoping. Zbl 1429.68335 Bostan, Alin; Dumont, Louis; Salvy, Bruno 6 2016 Fast algorithms for polynomial solutions of linear differential equations. Zbl 1360.68920 Bostan, Alin; Cluzeau, Thomas; Salvy, Bruno 6 2005 Homotopy techniques for multiplication modulo triangular sets. Zbl 1239.68079 Bostan, Alin; Chowdhury, Muhammad F. I.; van der Hoeven, Joris; Schost, Éric 5 2011 Products of ordinary differential operators by evaluation and interpolation. Zbl 1297.65050 Bostan, Alin; Chyzak, Frédéric; Le Roux, Nicolas 5 2008 Algorithmic efficiency for the basic operations in formal calculus. (Algorithmique efficace pour des opérations de base en calcul formel.) Zbl 1360.13003 Bostan, Alin 5 2003 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011 Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 5 2020 Fast conversion algorithms for orthogonal polynomials. Zbl 1182.65037 Bostan, Alin; Salvy, Bruno; Schost, Éric 4 2010 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1323.68585 Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Li, Ziming 4 2012 Low complexity algorithms for linear recurrences. Zbl 1356.65246 Bostan, A.; Chyzak, F.; Salvy, B.; Cluzeau, T. 4 2006 A fast algorithm for computing the \(p\)-curvature. Zbl 1346.68271 Bostan, Alin; Caruso, Xavier; Schost, Éric 4 2015 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 4 2010 Explicit degree bounds for right factors of linear differential operators. Zbl 1505.34128 Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno 4 2021 Improved algorithms for left factorial residues. Zbl 1515.11123 Andrejić, Vladica; Bostan, Alin; Tatarevic, Milos 4 2021 Fast algorithms for differential equations in positive characteristic. Zbl 1237.68097 Bostan, Alin; Schost, Éric 3 2009 Solving Toeplitz- and Vandermonde-like linear systems with large displacement rank. Zbl 1190.65044 Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 3 2007 Computation of the similarity class of the \(p\)-curvature. Zbl 1364.12006 Bostan, Alin; Caruso, Xavier; Schost, Éric 3 2016 Algebraic diagonals and walks: algorithms, bounds, complexity. Zbl 1371.33037 Bostan, Alin; Dumont, Louis; Salvy, Bruno 3 2017 On matrices with displacement structure: generalized operators and faster algorithms. Zbl 1371.65025 Bostan, A.; Jeannerod, C.-P.; Mouilleron, C.; Schost, É. 3 2017 Computing the N-th term of a q-holonomic sequence. Zbl 07300052 Bostan, Alin 3 2020 A simple and fast algorithm for computing exponentials of power series. Zbl 1202.65031 Bostan, Alin; Schost, Éric 3 2009 Power series composition and change of basis. Zbl 1489.68409 Bostan, Alin; Salvy, Bruno; Schost, Éric 2 2008 Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266 Bostan, Alin; Combot, Thierry; Safey El Din, Mohab 2 2014 Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009 Bostan, Alin; Christol, Gilles; Dumas, Philippe 2 2016 Subresultants in multiple roots: an extremal case. Zbl 1372.13018 Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 On the exponential generating function of labelled trees. (Sur la série génératrice des arbres étiquetés.) Zbl 1455.05005 Bostan, Alin; Jiménez-Pastor, Antonio 2 2020 On some combinatorial sequences associated to invariant theory. Zbl 1498.05014 Bostan, Alin; Tirrell, Jordan; Westbury, Bruce W.; Zhang, Yi 2 2022 Algebraic diagonals and walks. Zbl 1346.68272 Bostan, Alin; Dumont, Louis; Salvy, Bruno 2 2015 The Sage package comb\(\_\)walks for walks in the quarter plane. Zbl 1499.68417 Jiménez-Pastor, Antonio; Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre 2 2020 A hypergeometric proof that \(\mathsf{Iso}\) is bijective. Zbl 1509.33003 Bostan, Alin; Yurkevich, Sergey 2 2022 On a class of hypergeometric diagonals. Zbl 1486.13032 Bostan, Alin; Yurkevich, Sergey 2 2022 On the complexities of multipoint evaluation and interpolation. Zbl 1086.68150 Bostan, Alin; Schost, Éric 1 2004 Fast computation of common left multiples of linear ordinary differential operators. Zbl 1308.68161 Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 Power series solutions of singular \((q)\)-differential equations. Zbl 1323.68586 Bostan, Alin; Salvy, Bruno; Chowdhury, Muhammad F. I.; Schost, Éric; Lebreton, Romain 1 2012 Fast algorithms for discrete differential equations. Zbl 07760750 Bostan, Alin; Notarantonio, Hadrien; Safey El Din, Mohab 1 2023 Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. Zbl 07711461 Alsmeyer, Gerold; Bostan, Alin; Raschel, Kilian; Simon, Thomas 1 2023 Fast coefficient computation for algebraic power series in positive characteristic. Zbl 07721121 Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe 1 2019 The generating function of Kreweras walks with interacting boundaries is not algebraic. Zbl 1505.05009 Bostan, Alin; Kauers, Manuel; Verron, Thibaut 1 2021 Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications. Zbl 07589742 Bostan, Alin; Yurkevich, Sergey 1 2023 On an integral identity. Zbl 1482.26013 Bostan, Alin; Chamizo, Fernando; Sundqvist, Mikael Persson 1 2021 Fast algorithms for discrete differential equations. Zbl 07760750 Bostan, Alin; Notarantonio, Hadrien; Safey El Din, Mohab 1 2023 Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. Zbl 07711461 Alsmeyer, Gerold; Bostan, Alin; Raschel, Kilian; Simon, Thomas 1 2023 Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications. Zbl 07589742 Bostan, Alin; Yurkevich, Sergey 1 2023 On some combinatorial sequences associated to invariant theory. Zbl 1498.05014 Bostan, Alin; Tirrell, Jordan; Westbury, Bruce W.; Zhang, Yi 2 2022 A hypergeometric proof that \(\mathsf{Iso}\) is bijective. Zbl 1509.33003 Bostan, Alin; Yurkevich, Sergey 2 2022 On a class of hypergeometric diagonals. Zbl 1486.13032 Bostan, Alin; Yurkevich, Sergey 2 2022 Counting walks with large steps in an orthant. Zbl 1467.05012 Bostan, Alin; Bousquet-Mélou, Mireille; Melczer, Stephen 11 2021 Explicit degree bounds for right factors of linear differential operators. Zbl 1505.34128 Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno 4 2021 Improved algorithms for left factorial residues. Zbl 1515.11123 Andrejić, Vladica; Bostan, Alin; Tatarevic, Milos 4 2021 The generating function of Kreweras walks with interacting boundaries is not algebraic. Zbl 1505.05009 Bostan, Alin; Kauers, Manuel; Verron, Thibaut 1 2021 On an integral identity. Zbl 1482.26013 Bostan, Alin; Chamizo, Fernando; Sundqvist, Mikael Persson 1 2021 Stieltjes moment sequences for pattern-avoiding permutations. Zbl 1473.33011 Bostan, Alin; Price, Andrew Elvey; Guttmann, Anthony John; Maillard, Jean-Marie 5 2020 Computing the N-th term of a q-holonomic sequence. Zbl 07300052 Bostan, Alin 3 2020 On the exponential generating function of labelled trees. (Sur la série génératrice des arbres étiquetés.) Zbl 1455.05005 Bostan, Alin; Jiménez-Pastor, Antonio 2 2020 The Sage package comb\(\_\)walks for walks in the quarter plane. Zbl 1499.68417 Jiménez-Pastor, Antonio; Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre 2 2020 On the least common multiple of several random integers. Zbl 1473.11155 Bostan, Alin; Marynych, Alexander; Raschel, Kilian 9 2019 Fast coefficient computation for algebraic power series in positive characteristic. Zbl 07721121 Bostan, Alin; Caruso, Xavier; Christol, Gilles; Dumas, Philippe 1 2019 Generalized Hermite reduction, creative telescoping and definite integration of D-finite functions. Zbl 1467.34011 Bostan, Alin; Chyzak, Frédéric; Lairez, Pierre; Salvy, Bruno 8 2018 Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. Zbl 1352.05013 Bostan, Alin; Chyzak, Frédéric; van Hoeij, Mark; Kauers, Manuel; Pech, Lucien 21 2017 A human proof of Gessel’s lattice path conjecture. Zbl 1350.05006 Bostan, A.; Kurkova, I.; Raschel, K. 18 2017 Multiple binomial sums. Zbl 1351.05013 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 15 2017 Algebraic diagonals and walks: algorithms, bounds, complexity. Zbl 1371.33037 Bostan, Alin; Dumont, Louis; Salvy, Bruno 3 2017 On matrices with displacement structure: generalized operators and faster algorithms. Zbl 1371.65025 Bostan, A.; Jeannerod, C.-P.; Mouilleron, C.; Schost, É. 3 2017 Subresultants in multiple roots: an extremal case. Zbl 1372.13018 Bostan, A.; D’Andrea, C.; Krick, T.; Szanto, A.; Valdettaro, M. 2 2017 On 3-dimensional lattice walks confined to the positive octant. Zbl 1354.05006 Bostan, Alin; Bousquet-Mélou, Mireille; Kauers, Manuel; Melczer, Stephen 29 2016 Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. Zbl 1335.34002 Bostan, Alin; Chèze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur 8 2016 Efficient algorithms for mixed creative telscoping. Zbl 1429.68335 Bostan, Alin; Dumont, Louis; Salvy, Bruno 6 2016 Computation of the similarity class of the \(p\)-curvature. Zbl 1364.12006 Bostan, Alin; Caruso, Xavier; Schost, Éric 3 2016 Fast computation of the \(N\)th term of an algebraic series over a finite prime field. Zbl 1364.12009 Bostan, Alin; Christol, Gilles; Dumas, Philippe 2 2016 Diagonals of rational functions and selected differential Galois groups. Zbl 1334.82007 Bostan, A.; Boukraa, S.; Maillard, J.-M.; Weil, J.-A. 8 2015 A fast algorithm for computing the \(p\)-curvature. Zbl 1346.68271 Bostan, Alin; Caruso, Xavier; Schost, Éric 4 2015 Algebraic diagonals and walks. Zbl 1346.68272 Bostan, Alin; Dumont, Louis; Salvy, Bruno 2 2015 Non-D-finite excursions in the quarter plane. Zbl 1279.05003 Bostan, Alin; Raschel, Kilian; Salvy, Bruno 43 2014 A fast algorithm for computing the characteristic polynomial of the \(p\)-curvature. Zbl 1325.68265 Bostan, Alin; Caruso, Xavier; Schost, Éric 6 2014 Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266 Bostan, Alin; Combot, Thierry; Safey El Din, Mohab 2 2014 Creative telescoping for rational functions using the Griffiths-Dwork method. Zbl 1360.68921 Bostan, Alin; Lairez, Pierre; Salvy, Bruno 23 2013 Ising \(n\)-fold integrals as diagonals of rational functions and integrality of series expansions. Zbl 1267.82021 Bostan, A.; Boukraa, S.; Christol, G.; Hassani, S.; Maillard, J.-M. 18 2013 Hermite reduction and creative telescoping for hyperexponential functions. Zbl 1360.68918 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming; Xin, Guoce 13 2013 Complexity estimates for two uncoupling algorithms. Zbl 1360.68919 Bostan, Alin; Chyzak, Frédéric; de Panafieu, Élie 8 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 Power series solutions of singular \((q)\)-differential equations. Zbl 1323.68586 Bostan, 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 1208.82006 Bostan, A.; Boukraa, S.; Hassani, S.; van Hoeij, M.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 11 2011 Explicit formula for the generating series of diagonal 3D rook paths. Zbl 1295.05028 Bostan, Alin; Chyzak, Frédéric; Van Hoeij, Mark; Pech, Lucien 10 2011 Homotopy techniques for multiplication modulo triangular sets. Zbl 1239.68079 Bostan, 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 1308.68161 Bostan, Alin; Chyzak, Frédéric; Li, Ziming; Salvy, Bruno 1 2011 The complete generating function for Gessel walks is algebraic. Zbl 1206.05013 Bostan, Alin; Kauers, Manuel; Van Hoeij, Mark 47 2010 Wronskians and linear independence. Zbl 1202.00030 Bostan, Alin; Dumas, Philippe 24 2010 Complexity of creative telescoping for bivariate rational functions. Zbl 1321.68524 Bostan, Alin; Chen, Shaoshi; Chyzak, Frédéric; Li, Ziming 17 2010 Fast conversion algorithms for orthogonal polynomials. Zbl 1182.65037 Bostan, Alin; Salvy, Bruno; Schost, Éric 4 2010 Renormalization, isogenies, and rational symmetries of differential equations. Zbl 1201.81089 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N.; Abarenkova, N. 4 2010 Automatic classification of restricted lattice walks. Zbl 1391.05026 Bostan, Alin; Kauers, Manuel 25 2009 Globally nilpotent differential operators and the square Ising model. Zbl 1167.82005 Bostan, A.; Boukraa, S.; Hassani, S.; Maillard, J.-M.; Weil, J.-A.; Zenine, N. 9 2009 High order Fuchsian equations for the square lattice Ising model: \(\widetilde{\chi}^{(5)}\). Zbl 1171.82005 Bostan, A.; Boukraa, S.; Guttmann, A. J.; Hassani, S.; Jensen, I.; Maillard, J.-M.; Zenine, N. 8 2009 Fast algorithms for differential equations in positive characteristic. Zbl 1237.68097 Bostan, Alin; Schost, Éric 3 2009 A simple and fast algorithm for computing exponentials of power series. Zbl 1202.65031 Bostan, Alin; Schost, Éric 3 2009 Fast algorithms for computing isogenies between elliptic curves. Zbl 1200.11097 Bostan, A.; Morain, F.; Salvy, B.; Schost, É. 32 2008 Solving structured linear systems with large displacement rank. Zbl 1169.65023 Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 9 2008 Products of ordinary differential operators by evaluation and interpolation. Zbl 1297.65050 Bostan, Alin; Chyzak, Frédéric; Le Roux, Nicolas 5 2008 Power series composition and change of basis. Zbl 1489.68409 Bostan, Alin; Salvy, Bruno; Schost, Éric 2 2008 Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator. Zbl 1210.11126 Bostan, Alin; Gaudry, Pierrick; Schost, Éric 44 2007 Differential equations for algebraic functions. Zbl 1190.68085 Bostan, Alin; Chyzak, Frédéric; Salvy, Bruno; Lecerf, Grégoire; Schost, Éric 23 2007 Fast computation of power series solutions of systems of differential equations. Zbl 1302.65180 Bostan, A.; Chyzak, F.; Ollivier, F.; Salvy, B.; Schost, É.; Sedoglavic, A. 15 2007 Solving Toeplitz- and Vandermonde-like linear systems with large displacement rank. Zbl 1190.65044 Bostan, Alin; Jeannerod, Claude-Pierre; Schost, Éric 3 2007 Fast computation of special resultants. Zbl 1121.13037 Bostan, Alin; Flajolet, Philippe; Salvy, Bruno; Schost, Éric 24 2006 Low complexity algorithms for linear recurrences. Zbl 1356.65246 Bostan, A.; Chyzak, F.; Salvy, B.; Cluzeau, T. 4 2006 Polynomial evaluation and interpolation on special sets of points. Zbl 1101.68039 Bostan, Alin; Schost, Éric 33 2005 Fast algorithms for polynomial solutions of linear differential equations. Zbl 1360.68920 Bostan, Alin; Cluzeau, Thomas; Salvy, Bruno 6 2005 Complexity issues in bivariate polynomial factorization. Zbl 1134.68595 Bostan, A.; Lecerf, G.; Salvy, B.; Schost, É.; Wiebelt, B. 22 2004 Linear recurrences with polynomial coefficients and computation of the Cartier-Manin operator on hyperelliptic curves. Zbl 1119.11032 Bostan, Alin; Gaudry, Pierrick; Schost, Éric 7 2004 On the complexities of multipoint evaluation and interpolation. Zbl 1086.68150 Bostan, Alin; Schost, Éric 1 2004 Tellegen’s principle into practice. Zbl 1072.68649 Bostan, A.; Lecerf, G.; Schost, É. 30 2003 Fast algorithms for zero-dimensional polynomial systems using duality. Zbl 1058.68122 Bostan, Alin; Salvy, Bruno; Schost, Éric 10 2003 Algorithmic efficiency for the basic operations in formal calculus. (Algorithmique efficace pour des opérations de base en calcul formel.) Zbl 1360.13003 Bostan, Alin 5 2003 all cited Publications top 5 cited Publications all top 5 Cited by 548 Authors 32 Bostan, Alin 22 Schost, Éric 22 van der Hoeven, Joris 20 Kauers, Manuel 19 Harvey, David 19 Raschel, Kilian 17 Lecerf, Grégoire 12 Melczer, Stephen 12 Salvy, Bruno 10 Bousquet-Mélou, Mireille 10 Chen, Shaoshi 10 Maillard, Jean-Marie 9 Blümlein, Johannes 9 Koutschan, Christoph 8 Dreyfus, Thomas 8 Mishna, Marni 8 van Hoeij, Mark 7 Chèze, Guillaume 7 Schneider, Carsten 7 Sutherland, Andrew V. 7 Villard, Gilles 7 Weil, Jacques-Arthur 6 Jeannerod, Claude-Pierre 6 Singer, Michael F. 6 Yurkevich, Sergey V. 5 Abdelaziz, Y. 5 Berthomieu, Jérémy 5 Boukraa, Salah 5 Costa, Edgar 5 De Feo, Luca 5 Hardouin, Charlotte 5 Hittmeir, Markus 5 Mezzarobba, Marc 5 Neiger, Vincent 5 Rivoal, Tanguy 5 Trotignon, Amélie 5 Wang, Ronghua 4 Bernardi, Olivier 4 Drmota, Michael 4 Fusy, Éric 4 Guttmann, Anthony John 4 Kurkova, Irina A. 4 Lairez, Pierre 4 Marynych, Alexander V. 4 Poteaux, Adrien 4 Szántó, Ágnes 4 Weimann, Martin 3 Ablinger, Jakob 3 Abramov, Sergeĭ Aleksandrovich 3 Beaton, Nicholas R. 3 Buchacher, Manfred 3 Caruso, Xavier 3 Chyzak, Frédéric 3 Coxon, Nicholas 3 Faugère, Jean-Charles 3 Giesbrecht, Mark W. 3 Grenet, Bruno 3 Huang, Jianfeng 3 Kapusta, Joanna 3 Koiran, Pascal 3 Kudo, Momonari 3 Lauter, Kristin Estella 3 Lercier, Reynald 3 Mihăilescu, Preda 3 Mustapha, Sami 3 Narmanli, Erkan 3 Raab, Clemens G. 3 Rechnitzer, Andrew Daniel 3 Roques, Julien 3 Rosenkilde, Johan 3 Safey El Din, Mohab 3 Schaeffer, Gilles 3 Wilson, Mark Curtis 2 Abelard, Simon 2 Acosta Humánez, Primitivo Belén 2 Arreche, Carlos E. 2 Banderier, Cyril 2 Barkatou, Moulay A. 2 Behring, Arnd 2 Bell, Jason P. 2 Boutillier, Cédric 2 Bouvel, Mathilde 2 Bouzidi, Yacine 2 Bröker, Reinier 2 Cao, Yanzhao 2 Charles, Denis Xavier 2 Chen, William Yong-Chuan 2 Cluzeau, Thomas 2 Combot, Thierry 2 Courtiel, Julien 2 Couveignes, Jean-Marc 2 De Freitas, Abilio 2 Doliskani, Javad 2 Dong, Ruiwen 2 Du, Lixin 2 Dumas, Philippe 2 Eid, Élie 2 Elsenhans, Andreas-Stephan 2 Fischler, Stéphane 2 Forrester, Peter J. ...and 448 more Authors all top 5 Cited in 137 Serials 64 Journal of Symbolic Computation 32 Mathematics of Computation 20 Journal of Complexity 14 Journal of Physics A: Mathematical and Theoretical 12 Advances in Applied Mathematics 11 Applicable Algebra in Engineering, Communication and Computing 9 Journal of Combinatorial Theory. Series A 9 The Electronic Journal of Combinatorics 8 Theoretical Computer Science 8 Séminaire Lotharingien de Combinatoire 8 Foundations of Computational Mathematics 7 Mathematics in Computer Science 6 Journal of Number Theory 6 Annals of Combinatorics 6 LMS Journal of Computation and Mathematics 5 Journal of Differential Equations 5 Transactions of the American Mathematical Society 5 European Journal of Combinatorics 4 Research in Number Theory 3 Discrete Mathematics 3 SIAM Journal on Discrete Mathematics 3 Linear Algebra and its Applications 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Combinatorics, Probability and Computing 3 Journal of the European Mathematical Society (JEMS) 3 Annales Henri Lebesgue 2 Communications in Mathematical Physics 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 Mathematical Methods in the Applied Sciences 2 Nuclear Physics. B 2 ACM Transactions on Mathematical Software 2 Advances in Mathematics 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 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 Computational Complexity 2 Experimental Mathematics 2 Potential Analysis 2 Journal de Théorie des Nombres de Bordeaux 2 Annals of Mathematics. Second Series 2 Journal of High Energy Physics 2 Integers 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 International Journal of Number Theory 2 Journal of Mathematical Cryptology 2 SIAM Journal on Applied Algebra and Geometry 2 Combinatorial Theory 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 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 1 Annales de l’Institut Fourier 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 SIAM Journal on Numerical Analysis 1 Combinatorica 1 Physica D 1 Algorithmica 1 SIAM Journal on Matrix Analysis and Applications 1 International Journal of Algebra and Computation 1 International Journal of Foundations of Computer Science 1 Numerical Algorithms 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 SIAM Journal on Scientific Computing 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti ...and 37 more Serials all top 5 Cited in 45 Fields 148 Computer science (68-XX) 130 Number theory (11-XX) 107 Combinatorics (05-XX) 63 Algebraic geometry (14-XX) 59 Numerical analysis (65-XX) 56 Special functions (33-XX) 52 Field theory and polynomials (12-XX) 52 Commutative algebra (13-XX) 46 Ordinary differential equations (34-XX) 40 Probability theory and stochastic processes (60-XX) 23 Information and communication theory, circuits (94-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Quantum theory (81-XX) 19 Functions of a complex variable (30-XX) 19 Difference and functional equations (39-XX) 17 Statistical mechanics, structure of matter (82-XX) 11 Approximations and expansions (41-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Potential theory (31-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-XX) 1 Mathematical logic and foundations (03-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Citations by Year