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Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic

 Alin Bostan , Xavier Caruso , Gilles Christol , Philippe Dumas
ANTS-XIII - Thirteenth Algorithmic Number Theory Symposium, Jul 2018, Madison, United States. pp.119-135, ⟨10.2140/obs.2019.2-1⟩
Communication dans un congrès hal-01816375v1
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Algebraic aspects of B-regular series

 Philippe Dumas
[Research Report] RR-1931, INRIA. 1993
Rapport inria-00074743v1
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First-order factors of linear Mahler operators

 Frédéric Chyzak , Thomas Dreyfus , Philippe Dumas , Marc Mezzarobba
2024
Pré-publication, Document de travail hal-04502052v1
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Asymptotique des recurrences mahleriennes : le cas cyclotomique

 Philippe Flajolet , Philippe Dumas
[Rapport de recherche] RR-2163, INRIA. 1994
Rapport inria-00074509v1
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Mean asymptotic behaviour of radix-rational sequences and dilation equations (Extended version)

 Philippe Dumas
2008
Autre publication scientifique inria-00294520v2
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Computing solutions of linear Mahler equations

 Frédéric Chyzak , Thomas Dreyfus , Philippe Dumas , Marc Mezzarobba
Mathematics of Computation, 2018, 87, pp.2977-3021. ⟨10.1090/mcom/3359⟩
Article dans une revue hal-01418653v2

Calcul formel : mode d'emploi. Exemples en Maple

 Philippe Dumas , Claude Gomez , Bruno Salvy , Paul Zimmermann
Sans, pp.326, 2009
Ouvrages inria-00371192v1
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An Algorithm for Estimating all Matches Between Two Strings

 Mikhail J. Atallah , Frédéric Chyzak , Philippe Dumas
[Research Report] RR-3194, INRIA. 1997
Rapport inria-00073495v1
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Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: Algebraic and analytic approaches collated

 Philippe Dumas
Theoretical Computer Science, 2014, 548, pp.25-53. ⟨10.1016/j.tcs.2014.06.036⟩
Article dans une revue hal-01065761v1
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Récurrences mahlériennes, suites automatiques, études asymptotiques

 Philippe Dumas
Mathématiques [math]. Université Sciences et Technologies - Bordeaux I, 1993. Français. ⟨NNT : ⟩
Thèse tel-00614660v1
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A Gröbner-Basis Theory for Divide-and-Conquer Recurrences

 Frédéric Chyzak , Philippe Dumas
ISSAC - 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. ⟨10.1145/3373207.3404055⟩
Communication dans un congrès hal-02885579v1
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Asymptotic behaviour of a non-commutative rational series with a nonnegative linear representation

 Philippe Dumas , Helger Lipmaa , Johan Wallén
Discrete Mathematics and Theoretical Computer Science, 2007, Vol. 9 no. 1 (1), pp.247--272. ⟨10.46298/dmtcs.399⟩
Article dans une revue hal-00966501v1
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Additive cellular automata and algebraic series

 B. Litow , Philippe Dumas
[Research Report] RR-1657, INRIA. 1992
Rapport inria-00074900v1
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Mellin Transforms and Asymptotics: Harmonic Sums

 Philippe Flajolet , Xavier Gourdon , Philippe Dumas
[Research Report] RR-2369, INRIA. 1994
Rapport inria-00074307v1
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Maple and the Putnam Competition

 Philippe Dumas , Bruno Salvy
RT-0179, INRIA. 1995, pp.6
Rapport inria-00069992v1

Fast Computation of the $N$th Term of an Algebraic Series over a Finite Prime Field

 Alin Bostan , Gilles Christol , Philippe Dumas
ISSAC '16, Jul 2016, Waterloo, Ontario, Canada. ⟨10.1145/2930889.2930904⟩
Communication dans un congrès hal-01389421v1
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Becker's conjecture on Mahler functions

 Jason P. Bell , Frédéric Chyzak , Michael Coons , Philippe Dumas
Transactions of the American Mathematical Society, 2019, 372, pp.3405--3423. ⟨10.1090/tran/7762⟩
Article dans une revue hal-01885598v1
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Une introduction à Maple

 Philippe Dumas , Xavier Gourdon
RT-0173, INRIA. 1995, pp.40
Rapport inria-00069997v1
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Diviser pour régner Algèbre et analyse

 Philippe Dumas
Master. Centre International de Rencontres Mathématiques, Marseille, France. 2016, pp.80
Cours cel-01388741v1
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Wronskians and linear independence

 Alin Bostan , Philippe Dumas
The American Mathematical Monthly, 2010, 117 (8), pp.722-727. ⟨10.4169/000298910X515785⟩
Article dans une revue hal-00780437v1
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Joint Spectral Radius, Dilation Equations, and Asymptotic Behavior of Radix-Rational Sequences

 Philippe Dumas
Linear Algebra and its Applications, 2013, 438 (5), pp.2107-2126. ⟨10.1016/j.laa.2012.10.013⟩
Article dans une revue hal-00780568v1
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Some exactly solvable models of urn process theory

 Philippe Flajolet , Philippe Dumas , Vincent Puyhaubert
Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 2006, Nancy, France. pp.59-118, ⟨10.46298/dmtcs.3506⟩
Communication dans un congrès hal-01184710v1
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