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Author ID: bostan.alin Recent zbMATH articles by "Bostan, Alin"
Published as: Bostan, Alin; Bostan, A.
Homepage: https://specfun.inria.fr/bostan/
External Links: MGP · Google Scholar · dblp
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

Publications by Year

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 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)

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