Linear Recurrences with Polynomial Coefficients and Computation of the Cartier-Manin Operator on Hyperelliptic Curves. - Alin Bostan; Pierrick Gaudry; Éric Schost (International Conference on Finite Fields and Applications, 2003)

Tellegen's principle into practice. - Alin Bostan; Grégoire Lecerf; Éric Schost (ISSAC, 2003)

Fast Algorithms for Zero-Dimensional Polynomial Systems using Duality. - Alin Bostan; Bruno Salvy; Éric Schost (Appl. Algebra Eng. Commun. Comput., 2003)

Algorithmique efficace pour des opérations de base en calcul formel. (Fast algorithms for basic operations in computer algebra). - Alin Bostan (2003)

Complexity issues in bivariate polynomial factorization. - Alin Bostan; Grégoire Lecerf; Bruno Salvy; Éric Schost; B. Wiebelt (ISSAC, 2004)

On the complexities of multipoint evaluation and interpolation. - Alin Bostan; Éric Schost (Theor. Comput. Sci., 2004)

Fast algorithms for polynomial solutions of linear differential equations. - Alin Bostan; Thomas Cluzeau; Bruno Salvy (ISSAC, 2005)

Polynomial evaluation and interpolation on special sets of points. - Alin Bostan; Éric Schost (J. Complex., 2005)

Using fast matrix multiplication to solve structured linear systems. - Éric Schost; Alin Bostan; Claude-Pierre Jeannerod (Challenges in Symbolic Computation Software, 2006)

Low complexity algorithms for linear recurrences. - Alin Bostan; Frédéric Chyzak; Bruno Salvy; Thomas Cluzeau (ISSAC, 2006)

Fast computation of special resultants. - Alin Bostan; Philippe Flajolet; Bruno Salvy; Éric Schost (J. Symb. Comput., 2006)

Differential equations for algebraic functions. - Alin Bostan; Frédéric Chyzak; Bruno Salvy; Grégoire Lecerf; Éric Schost (ISSAC, 2007)

Solving toeplitz- and vandermonde-like linear systems with large displacement rank. - Alin Bostan; Claude-Pierre Jeannerod; Éric Schost (ISSAC, 2007)

Fast computation of power series solutions of systems of differential equations. - Alin Bostan; Frédéric Chyzak; François Ollivier; Bruno Salvy; Éric Schost; Alexandre Sedoglavic (SODA, 2007)

Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier-Manin Operator. - Alin Bostan; Pierrick Gaudry; Éric Schost (SIAM J. Comput., 2007)

Products of ordinary differential operators by evaluation and interpolation. - Alin Bostan; Frédéric Chyzak; Nicolas Le Roux (ISSAC, 2008)

Power series composition and change of basis. - Alin Bostan; Bruno Salvy; Éric Schost (ISSAC, 2008)

Fast Conversion Algorithms for Orthogonal Polynomials - Alin Bostan; Bruno Salvy; Éric Schost (CoRR, 2008)

Fast algorithms for computing isogenies between elliptic curves. - Alin Bostan; François Morain; Bruno Salvy; Éric Schost (Math. Comput., 2008)

Solving structured linear systems with large displacement rank. - Alin Bostan; Claude-Pierre Jeannerod; Éric Schost (Theor. Comput. Sci., 2008)

Fast algorithms for differential equations in positive characteristic. - Alin Bostan; Éric Schost (ISSAC, 2009)

Homotopy methods for multiplication modulo triangular sets - Alin Bostan; Muhammad F. I. Chowdhury; Joris van der Hoeven; Éric Schost (CoRR, 2009)

Generating functions of Chebyshev-like polynomials - Alin Bostan; Bruno Salvy; Khang Tran (CoRR, 2009)

The complete Generating Function for Gessel Walks is Algebraic - Alin Bostan; Manuel Kauers (CoRR, 2009)

A simple and fast algorithm for computing exponentials of power series. - Alin Bostan; Éric Schost (Inf. Process. Lett., 2009)

Complexity of creative telescoping for bivariate rational functions. - Alin Bostan; Shaoshi Chen; Frédéric Chyzak; Ziming Li 002 (ISSAC, 2010)

Rational-functions telescopers: blending creative telescoping with hermite reduction. - Alin Bostan; Shaoshi Chen; Frédéric Chyzak; Ziming Li 002 (ACM Commun. Comput. Algebra, 2010)

Wronskians and Linear Independence. - Alin Bostan; Philippe Dumas 001 (Am. Math. Mon., 2010)

Fast computation of common left multiples of linear ordinary differential operators. - Alin Bostan; Frédéric Chyzak; Ziming Li 002; Bruno Salvy (ACM Commun. Comput. Algebra, 2011)

Explicit formula for the generating series of diagonal 3D rook paths - Alin Bostan; Frédéric Chyzak; Mark van Hoeij; Lucien Pech (CoRR, 2011)

Homotopy techniques for multiplication modulo triangular sets. - Alin Bostan; Muhammad F. I. Chowdhury; Joris van der Hoeven; Éric Schost (J. Symb. Comput., 2011)

Quasi-optimal Multiplication of Linear Differential Operators. - Alexandre Benoît; Alin Bostan; Joris van der Hoeven (FOCS, 2012)

Power series solutions of singular (q)-differential equations. - Alin Bostan; Bruno Salvy; Muhammad F. I. Chowdhury; Éric Schost; Romain Lebreton (ISSAC, 2012)

A Binomial-like Matrix Equation. - Alin Bostan; Thierry Combot (Am. Math. Mon., 2012)

Hermite reduction and creative telescoping for hyperexponential functions. - Alin Bostan; Shaoshi Chen; Frédéric Chyzak; Ziming Li 002; Guoce Xin (ISSAC, 2013)

Complexity estimates for two uncoupling algorithms. - Alin Bostan; Frédéric Chyzak; Elie de Panafieu (ISSAC, 2013)

Creative telescoping for rational functions using the griffiths: dwork method. - Alin Bostan; Pierre Lairez; Bruno Salvy (ISSAC, 2013)

Computing necessary integrability conditions for planar parametrized homogeneous potentials. - Alin Bostan; Thierry Combot; Mohab Safey El Din (ISSAC, 2014)

A fast algorithm for computing the characteristic polynomial of the p-curvature. - Alin Bostan; Xavier Caruso; Éric Schost (ISSAC, 2014)

Non-D-finite excursions in the quarter plane. - Alin Bostan; Kilian Raschel; Bruno Salvy (J. Comb. Theory A, 2014)

A Fast Algorithm for Computing the P-curvature. - Alin Bostan; Xavier Caruso; Éric Schost (ISSAC, 2015)

Algebraic Diagonals and Walks. - Alin Bostan; Louis Dumont; Bruno Salvy (ISSAC, 2015)

Fast Computation of the Nth Term of an Algebraic Series over a Finite Prime Field. - Alin Bostan; Gilles Christol; Philippe Dumas 001 (ISSAC, 2016)

Computation of the Similarity Class of the p-Curvature. - Alin Bostan; Xavier Caruso; Éric Schost (ISSAC, 2016)

Efficient Algorithms for Mixed Creative Telscoping. - Alin Bostan; Louis Dumont; Bruno Salvy (ISSAC, 2016)

Fast computation of the $N$th term of an algebraic series in positive characteristic. - Alin Bostan; Gilles Christol; Philippe Dumas 001 (CoRR, 2016)

Efficient Algorithms for Mixed Creative Telescoping. - Alin Bostan; Louis Dumont; Bruno Salvy (CoRR, 2016)

Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields. - Alin Bostan; Guillaume Chèze; Thomas Cluzeau; Jacques-Arthur Weil (Math. Comput., 2016)

Computer Algebra for Lattice path Combinatorics. (Calcul Formel pour la Combinatoire des Marches). - Alin Bostan (2017)

Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. - Alin Bostan; Frédéric Chyzak; Mark van Hoeij; Manuel Kauers; Lucien Pech (Eur. J. Comb., 2017)

Algebraic diagonals and walks: Algorithms, bounds, complexity. - Alin Bostan; Louis Dumont; Bruno Salvy (J. Symb. Comput., 2017)

Multiple binomial sums. - Alin Bostan; Pierre Lairez; Bruno Salvy (J. Symb. Comput., 2017)

On Matrices With Displacement Structure: Generalized Operators and Faster Algorithms. - Alin Bostan; Claude-Pierre Jeannerod; Christophe Mouilleron; Éric Schost (SIAM J. Matrix Anal. Appl., 2017)

Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions. - Alin Bostan; Frédéric Chyzak; Pierre Lairez; Bruno Salvy (ISSAC, 2018)

Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic. - Alin Bostan; Xavier Caruso; Gilles Christol; Philippe Dumas 001 (CoRR, 2018)

Subresultants of (x-α)m and (x-β)n, Jacobi polynomials and complexity. - Alin Bostan; Teresa Krick; Ágnes Szántó; Marcelo Valdettaro (CoRR, 2018)

On sequences associated to the invariant theory of rank two simple Lie algebras. - Alin Bostan; Jordan Tirrell; Bruce W. Westbury; Yi Zhang (CoRR, 2019)

Weakly-Unambiguous Parikh Automata and Their Link to Holonomic Series. - Alin Bostan; Arnaud Carayol; Florent Koechlin; Cyril Nicaud (ICALP, 2020)

Computing the N-th term of a q-holonomic sequence. - Alin Bostan (ISSAC, 2020)

The Sage package comb_walks for walks in the quarter plane. - Antonio Jiménez-Pastor; Alin Bostan; Frédéric Chyzak; Pierre Lairez (ACM Commun. Comput. Algebra, 2020)

Stieltjes Moment Sequences for Pattern-Avoiding Permutations. - Alin Bostan; Andrew Elvey Price; Anthony John Guttmann; Jean-Marie Maillard (Electron. J. Comb., 2020)

A Simple and Fast Algorithm for Computing the N-th Term of a Linearly Recurrent Sequence. - Alin Bostan; Ryuhei Mori (CoRR, 2020)

Fast Computation of the N-th Term of a q-Holonomic Sequence and Applications. - Alin Bostan; Sergey Yurkevich (CoRR, 2020)

Subresultants of (x-α)m and (x-β)n, Jacobi polynomials and complexity. - Alin Bostan; Teresa Krick; Ágnes Szántó; Marcelo Valdettaro (J. Symb. Comput., 2020)

Computer Algebra in the Service of Enumerative Combinatorics. - Alin Bostan (ISSAC, 2021)

A Simple and Fast Algorithm for Computing the N-th Term of a Linearly Recurrent Sequence. - Alin Bostan; Ryuhei Mori (SOSA, 2021)

Improved algorithms for left factorial residues. - Vladica Andrejic; Alin Bostan; Milos Tatarevic (Inf. Process. Lett., 2021)

On an Integral Identity. - Alin Bostan; Fernando Chamizo; Mikael Persson Sundqvist (Am. Math. Mon., 2021)

Algorithms for Discrete Differential Equations of Order 1. - Alin Bostan; Frédéric Chyzak; Hadrien Notarantonio; Mohab Safey El Din (ISSAC, 2022)

Gröbner bases and critical values: The asymptotic combinatorics of determinantal systems. - Alin Bostan; Jérémy Berthomieu; Andrew Ferguson; Mohab Safey El Din (CoRR, 2022)

On some combinatorial sequences associated to invariant theory. - Alin Bostan; Jordan Tirrell; Bruce W. Westbury; Yi Zhang (Eur. J. Comb., 2022)

Fast Algorithms for Discrete Differential Equations. - Alin Bostan; Hadrien Notarantonio; Mohab Safey El Din (ISSAC, 2023)

Beating binary powering for polynomial matrices. - Alin Bostan; Vincent Neiger; Sergey Yurkevich (ISSAC, 2023)

On the $q$-Analogue of Pólya's Theorem. - Alin Bostan; Sergey Yurkevich (Electron. J. Comb., 2023)

Algebraic solutions of linear differential equations: an arithmetic approach. - Alin Bostan; Xavier Caruso; Julien Roques (CoRR, 2023)

A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products. - Boris Adamczewski; Alin Bostan; Xavier Caruso (CoRR, 2023)

Fast computation of the N-th term of a q-holonomic sequence and applications. - Alin Bostan; Sergey Yurkevich (J. Symb. Comput., 2023)

Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials. - Gerold Alsmeyer; Alin Bostan; Kilian Raschel; Thomas Simon (Adv. Appl. Math., 2023)

Minimization of differential equations and algebraic values of 𝐸-functions. - Alin Bostan; Tanguy Rivoal; Bruno Salvy (Math. Comput., 2023)

On deciding transcendence of power series. - Alin Bostan; Bruno Salvy; Michael F. Singer (CoRR, 2025)

Tree-indexed sums of Catalan numbers. - Alin Bostan; Valentin Féray; Paul Thévenin (CoRR, 2025)