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Roy, Damien

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Author ID: roy.damien Recent zbMATH articles by "Roy, Damien"
Published as: Roy, D.; Roy, Damien
External Links: MGP
Documents Indexed: 60 Publications since 1988
Reviewing Activity: 24 Reviews

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 258 times in 139 Documents Cited by Year
Approximation to real numbers by cubic algebraic integers. I. Zbl 1035.11028
Roy, Damien
30
2004
An absolute Siegel’s lemma. Zbl 0860.11036
Roy, Damien; Thunder, Jeffrey Lin
24
1996
On Schmidt and Summerer parametric geometry of numbers. Zbl 1328.11076
Roy, Damien
17
2015
Approximation to real numbers by cubic algebraic integers. II. Zbl 1044.11061
Roy, Damien
16
2003
Simultaneous approximation to a real number and its square. Zbl 1038.11042
Roy, Damien
14
2003
A note on Siegel’s lemma over number fields. Zbl 0839.11011
Roy, Damien; Thunder, Jeffrey Lin
9
1995
Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105
Laurent, Michel; Roy, Damien
8
1999
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
Spectrum of the exponents of best rational approximation. Zbl 1338.11061
Roy, Damien
7
2016
On two exponents of approximation related to a real number and its square. Zbl 1115.11036
Roy, Damien
7
2007
An arithmetic criterion for the values of the exponential function. Zbl 0981.11025
Roy, Damien
7
2001
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
Diophantine approximation and algebraic independence of logarithms. Zbl 0895.11030
Roy, Damien; Waldschmidt, Michel
7
1997
Matrices whose coefficients are linear forms in logarithms. Zbl 0763.11030
Roy, Damien
7
1992
Estimating performance in a robotic mobile fulfillment system. Zbl 1394.90199
Lamballais, T.; Roy, D.; de Koster, M. B. M.
6
2017
On simultaneous rational approximations to a real number, its square, and its cube. Zbl 1228.11100
Roy, Damien
6
2008
Interpolation formulas and auxiliary functions. Zbl 1010.11039
Roy, Damien
6
2002
Addendum and erratum to an absolute Siegel’s lemma. Zbl 0910.11028
Roy, Damien; Thunder, Jeffrey Lin
5
1999
Points whose coordinates are logarithms of algebraic numbers on algebraic varieties. Zbl 0833.11031
Roy, Damien
5
1995
Simultaneous approximation to a real number and to its cube by rational numbers. Zbl 1268.11091
Lozier, Stéphane; Roy, Damien
4
2012
Diophantine approximation in small degree. Zbl 1077.11051
Roy, Damien
4
2004
Bases of number fields with small height. Zbl 0905.11031
Roy, Damien; Thunder, Jeffrey Lin
4
1996
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
4
1995
On the topology of Diophantine approximation spectra. Zbl 1379.11069
Roy, Damien
3
2017
Rational approximation to real points on conics. Zbl 1304.11064
Roy, Damien
3
2013
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
3
2004
Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047
Laurent, Michel; Roy, Damien
3
2001
A thermodynamically consistent peridynamics model for visco-plasticity and damage. Zbl 1440.74035
Pathrikar, Anil; Rahaman, Md Masiur; Roy, D.
2
2019
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer. Zbl 1387.11041
Roy, Damien
2
2015
Markoff-Lagrange spectrum and extremal numbers. Zbl 1257.11071
Roy, Damien
2
2011
Measures of algebraic approximation to Markoff extremal numbers. Zbl 1241.11071
Roy, Damien; Zelo, Dmitrij
2
2011
On the continued fraction expansion of a class of numbers. Zbl 1215.11070
Roy, Damien
2
2008
A Gel’fond type criterion in degree two. Zbl 1064.11049
Arbour, Benoit; Roy, Damien
2
2004
Interpolation on perturbations of Cartesian products. Zbl 1085.11036
Roy, Damien
2
2002
An interpolation formula for two variables. Zbl 1053.11063
Roy, Damien
2
2001
On the algebraic subgroup theorem. Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
Simultaneous approximation in number fields. Zbl 0780.11060
Roy, Damien
2
1992
Matrices dont les coefficients sont des formes linéaires. (Matrices with linear forms as coefficients). Zbl 0712.11042
Roy, D.
2
1990
Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications arithmétiques. (Minimal subgroups of commutative real Lie groups and arithmetic applications). Zbl 0672.10024
Roy, Damien
2
1990
Numbers with almost all convergents in a Cantor set. Zbl 1442.11016
Roy, Damien; Schleischitz, Johannes
1
2019
Parametric geometry of numbers in function fields. Zbl 1428.11126
Roy, Damien; Waldschmidt, Michel
1
2017
Diophantine approximation with sign constraints. Zbl 1286.11105
Roy, Damien
1
2014
Small value estimates for the additive group. Zbl 1200.11056
Roy, Damien
1
2010
Small value estimates for the multiplicative group. Zbl 1214.11087
Roy, Damien
1
2008
Simultaneous approximation by conjugate algebraic numbers in fields of transcendence degree one. Zbl 1114.11061
Roy, Damien
1
2005
Simultaneous algebraic approximation of Liouville numbers. Zbl 0982.11041
Roy, Damien
1
2001
On the \(v\)-adic independence of algebraic numbers. Zbl 0788.11051
Roy, Damien
1
1993
Transcendance et questions de répartition dans les groupes algébriques. (Transcendence and questions of distribution in algebraic groups). Zbl 0763.11031
Roy, Damien
1
1992
Sur une version algébrique de la notion de sous-groupe minimal relatif de \({\mathbb{R}}^ n\). (On an algebraic version of the notion of relative minimal subgroup of \({\mathbb{R}}^ n)\). Zbl 0729.12014
Roy, Damien
1
1990
A thermodynamically consistent peridynamics model for visco-plasticity and damage. Zbl 1440.74035
Pathrikar, Anil; Rahaman, Md Masiur; Roy, D.
2
2019
Numbers with almost all convergents in a Cantor set. Zbl 1442.11016
Roy, Damien; Schleischitz, Johannes
1
2019
Estimating performance in a robotic mobile fulfillment system. Zbl 1394.90199
Lamballais, T.; Roy, D.; de Koster, M. B. M.
6
2017
On the topology of Diophantine approximation spectra. Zbl 1379.11069
Roy, Damien
3
2017
Parametric geometry of numbers in function fields. Zbl 1428.11126
Roy, Damien; Waldschmidt, Michel
1
2017
Spectrum of the exponents of best rational approximation. Zbl 1338.11061
Roy, Damien
7
2016
On Schmidt and Summerer parametric geometry of numbers. Zbl 1328.11076
Roy, Damien
17
2015
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer. Zbl 1387.11041
Roy, Damien
2
2015
Diophantine approximation with sign constraints. Zbl 1286.11105
Roy, Damien
1
2014
Rational approximation to real points on conics. Zbl 1304.11064
Roy, Damien
3
2013
Simultaneous approximation to a real number and to its cube by rational numbers. Zbl 1268.11091
Lozier, Stéphane; Roy, Damien
4
2012
Markoff-Lagrange spectrum and extremal numbers. Zbl 1257.11071
Roy, Damien
2
2011
Measures of algebraic approximation to Markoff extremal numbers. Zbl 1241.11071
Roy, Damien; Zelo, Dmitrij
2
2011
Small value estimates for the additive group. Zbl 1200.11056
Roy, Damien
1
2010
On simultaneous rational approximations to a real number, its square, and its cube. Zbl 1228.11100
Roy, Damien
6
2008
On the continued fraction expansion of a class of numbers. Zbl 1215.11070
Roy, Damien
2
2008
Small value estimates for the multiplicative group. Zbl 1214.11087
Roy, Damien
1
2008
On two exponents of approximation related to a real number and its square. Zbl 1115.11036
Roy, Damien
7
2007
Simultaneous approximation by conjugate algebraic numbers in fields of transcendence degree one. Zbl 1114.11061
Roy, Damien
1
2005
Approximation to real numbers by cubic algebraic integers. I. Zbl 1035.11028
Roy, Damien
30
2004
Diophantine approximation in small degree. Zbl 1077.11051
Roy, Damien
4
2004
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
3
2004
A Gel’fond type criterion in degree two. Zbl 1064.11049
Arbour, Benoit; Roy, Damien
2
2004
Approximation to real numbers by cubic algebraic integers. II. Zbl 1044.11061
Roy, Damien
16
2003
Simultaneous approximation to a real number and its square. Zbl 1038.11042
Roy, Damien
14
2003
Interpolation formulas and auxiliary functions. Zbl 1010.11039
Roy, Damien
6
2002
Interpolation on perturbations of Cartesian products. Zbl 1085.11036
Roy, Damien
2
2002
An arithmetic criterion for the values of the exponential function. Zbl 0981.11025
Roy, Damien
7
2001
Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047
Laurent, Michel; Roy, Damien
3
2001
An interpolation formula for two variables. Zbl 1053.11063
Roy, Damien
2
2001
Simultaneous algebraic approximation of Liouville numbers. Zbl 0982.11041
Roy, Damien
1
2001
Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). Zbl 0923.11105
Laurent, Michel; Roy, Damien
8
1999
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
Addendum and erratum to an absolute Siegel’s lemma. Zbl 0910.11028
Roy, Damien; Thunder, Jeffrey Lin
5
1999
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
Diophantine approximation and algebraic independence of logarithms. Zbl 0895.11030
Roy, Damien; Waldschmidt, Michel
7
1997
An absolute Siegel’s lemma. Zbl 0860.11036
Roy, Damien; Thunder, Jeffrey Lin
24
1996
Bases of number fields with small height. Zbl 0905.11031
Roy, Damien; Thunder, Jeffrey Lin
4
1996
A note on Siegel’s lemma over number fields. Zbl 0839.11011
Roy, Damien; Thunder, Jeffrey Lin
9
1995
Points whose coordinates are logarithms of algebraic numbers on algebraic varieties. Zbl 0833.11031
Roy, Damien
5
1995
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
4
1995
On the algebraic subgroup theorem. Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
On the \(v\)-adic independence of algebraic numbers. Zbl 0788.11051
Roy, Damien
1
1993
Matrices whose coefficients are linear forms in logarithms. Zbl 0763.11030
Roy, Damien
7
1992
Simultaneous approximation in number fields. Zbl 0780.11060
Roy, Damien
2
1992
Transcendance et questions de répartition dans les groupes algébriques. (Transcendence and questions of distribution in algebraic groups). Zbl 0763.11031
Roy, Damien
1
1992
Matrices dont les coefficients sont des formes linéaires. (Matrices with linear forms as coefficients). Zbl 0712.11042
Roy, D.
2
1990
Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications arithmétiques. (Minimal subgroups of commutative real Lie groups and arithmetic applications). Zbl 0672.10024
Roy, Damien
2
1990
Sur une version algébrique de la notion de sous-groupe minimal relatif de \({\mathbb{R}}^ n\). (On an algebraic version of the notion of relative minimal subgroup of \({\mathbb{R}}^ n)\). Zbl 0729.12014
Roy, Damien
1
1990
all top 5

Cited by 96 Authors

28 Roy, Damien
9 Bugeaud, Yann
9 Schleischitz, Johannes
7 Waldschmidt, Michel
6 Gaudron, Éric
5 Chen, Huayi
5 Fischler, Stéphane
5 Laurent, Michel
5 Philippon, Patrice
5 Schmidt, Wolfgang M.
5 Widmer, Martin
4 Fukshansky, Lenny
4 Poels, Anthony
4 Summerer, Leonhard
3 Adamczewski, Boris
3 Diaz, Guy
3 Thunder, Jeffrey Lin
2 Allouche, Jean-Paul Simon
2 Ballaÿ, François
2 Batzaya, Gantsooj
2 Boysen, Nils
2 Evertse, Jan-Hendrik
2 Nakamaye, Michael
2 Rémond, Gaël
2 Talamanca, Valerio
1 Amoroso, Francesco
1 Amou, Masaaki
1 Andersen, Nickolas
1 Aschenbrenner, Matthias
1 Badziahin, Dmitry
1 Beasley, John E.
1 Bel, Pierre
1 Briskorn, Dirk
1 Calegari, Frank
1 Carvelli, Valter
1 Chan, Felix T. S.
1 Chan, Wai Kiu
1 Chen, Wenliang
1 Cheung, Yitwah
1 Chevallier, Nicolas
1 Das, Tushar Kanti
1 David, Sinnou
1 De Koster, René M. B. M.
1 Diana, Vito
1 Duke, William Drexel
1 Emde, Simon
1 Ferretti, Roberto Giorgio
1 Fici, Gabriele
1 Firooz, Soheil
1 Fishman, Lior
1 Fogg, N. Pytheas
1 Frei, Christopher
1 Gelbord, Boaz
1 German, Oleg N.
1 Gras, Georges
1 Grinspan, Pierre
1 Habegger, Philipp
1 Henk, Martin
1 Henshaw, Glenn R.
1 Hurlburt, Chris
1 Ikoma, Hideaki
1 Javili, Ali
1 Keita, Aminata D. T.
1 Kleinbock, Dmitry Ya.
1 Kumawat, Govind Lal
1 Liebendörfer, Christine
1 Marnat, Antoine
1 Masser, David William
1 Mazur, Barry
1 McBride, Andrew T.
1 Merschformann, Marius
1 Meshulam, Roy
1 Moshchevitin, Nikolay G.
1 Nguyen, Ngoc Ai Van
1 Pekker, Alexander
1 Phunphayap, Phakhinkon
1 Pila, Jonathan
1 Pilon, Samuel
1 Pongsriiam, Prapanpong
1 Poulakis, Dimitrios
1 Rivard-Cooke, Martin
1 Roy, Debjit
1 Simmons, David
1 Steinmann, Paul
1 Thakur, Dinesh S.
1 Thiel, Carsten
1 Thiel, Carsten
1 Urbański, Mariusz
1 Vaaler, Jeffrey D.
1 Valle, Cristiano Arbex
1 Villani, Eric
1 Wang, Zheng
1 Weidinger, Felix
1 Yu, Han
1 Zamboni, Luca Quardo
1 Zannier, Umberto M.
all top 5

Cited in 60 Serials

17 Journal of Number Theory
16 Journal de Théorie des Nombres de Bordeaux
6 Acta Arithmetica
6 Annales de l’Institut Fourier
5 Rocky Mountain Journal of Mathematics
5 Transactions of the American Mathematical Society
4 Mathematika
4 Monatshefte für Mathematik
4 International Journal of Number Theory
3 Mathematische Zeitschrift
3 European Journal of Operational Research
3 Indagationes Mathematicae. New Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Israel Journal of Mathematics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Acta Mathematica
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Inventiones Mathematicae
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 Theoretical Computer Science
2 Computers & Operations Research
2 The Ramanujan Journal
2 Annals of Mathematics. Second Series
1 Computer Methods in Applied Mechanics and Engineering
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Beiträge zur Algebra und Geometrie
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Dissertationes Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Computational Mechanics
1 Journal of the American Mathematical Society
1 L’Enseignement Mathématique. 2e Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Finite Fields and their Applications
1 Izvestiya: Mathematics
1 Documenta Mathematica
1 Journal of Integer Sequences
1 RAIRO. Theoretical Informatics and Applications
1 Journal of the Institute of Mathematics of Jussieu
1 Kyoto Journal of Mathematics
1 Afrika Matematika
1 Communications in Mathematics
1 Moscow Journal of Combinatorics and Number Theory
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Research in Number Theory

Citations by Year