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Author ID: roy.damien Recent zbMATH articles by "Roy, Damien"
Published as: Roy, Damien; Roy, D.
External Links: MGP
Documents Indexed: 65 Publications since 1988
1 Further Contribution
Reviewing Activity: 24 Reviews
Co-Authors: 14 Co-Authors with 27 Joint Publications
92 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

55 Publications have been cited 324 times in 153 Documents Cited by Year
Approximation to real numbers by cubic algebraic integers. I. Zbl 1035.11028
Roy, Damien
34
2004
On Schmidt and Summerer parametric geometry of numbers. Zbl 1328.11076
Roy, Damien
26
2015
An absolute Siegel’s lemma. Zbl 0860.11036
Roy, Damien; Thunder, Jeffrey Lin
24
1996
Approximation to real numbers by cubic algebraic integers. II. Zbl 1044.11061
Roy, Damien
18
2003
Simultaneous approximation to a real number and its square. (Approximation simultanée d’un nombre et de son carré.) Zbl 1038.11042
Roy, Damien
16
2003
Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032
13
2001
Estimating performance in a robotic mobile fulfillment system. Zbl 1394.90199
Lamballais, T.; Roy, D.; de Koster, M. B. M.
12
2017
On simultaneous rational approximations to a real number, its square, and its cube. Zbl 1228.11100
Roy, Damien
10
2008
A note on Siegel’s lemma over number fields. Zbl 0839.11011
Roy, Damien; Thunder, Jeffrey Lin
10
1995
On two exponents of approximation related to a real number and its square. Zbl 1115.11036
Roy, Damien
10
2007
Spectrum of the exponents of best rational approximation. Zbl 1338.11061
Roy, Damien
8
2016
Matrices whose coefficients are linear forms in logarithms. Zbl 0763.11030
Roy, Damien
8
1992
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
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
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
An arithmetic criterion for the values of the exponential function. Zbl 0981.11025
Roy, Damien
7
2001
Addendum and erratum to an absolute Siegel’s lemma. Zbl 0910.11028
Roy, Damien; Thunder, Jeffrey Lin
7
1999
Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) Zbl 0895.11030
Roy, Damien; Waldschmidt, Michel
7
1997
Interpolation formulas and auxiliary functions. Zbl 1010.11039
Roy, Damien
6
2002
On the topology of Diophantine approximation spectra. Zbl 1379.11069
Roy, Damien
6
2017
Points whose coordinates are logarithms of algebraic numbers on algebraic varieties. Zbl 0833.11031
Roy, Damien
5
1995
Diophantine approximation in small degree. Zbl 1077.11051
Roy, Damien
5
2004
A transference principle for simultaneous rational approximation. Zbl 1460.11100
Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien
4
2020
Criteria of algebraic independence with multiplicities and approximation by surfaces. Zbl 0990.11047
Laurent, Michel; Roy, Damien
4
2001
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
4
2004
Simultaneous approximation to a real number and to its cube by rational numbers. Zbl 1268.11091
Lozier, Stéphane; Roy, Damien
4
2012
Quadratic relations between logarithms of algebraic numbers. Zbl 0860.11040
Roy, Damien; Waldschmidt, Michel
4
1995
Bases of number fields with small height. Zbl 0905.11031
Roy, Damien; Thunder, Jeffrey Lin
4
1996
Rational approximation to real points on conics. (Approximation rationnelle de points réels sur les coniques.) Zbl 1304.11064
Roy, Damien
3
2013
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer. Zbl 1387.11041
Roy, Damien
3
2015
Measures of algebraic approximation to Markoff extremal numbers. Zbl 1241.11071
Roy, Damien; Zelo, Dmitrij
3
2011
Rational approximation to real points on quadratic hypersurfaces. Zbl 1479.11120
Poëls, Anthony; Roy, Damien
2
2021
Interpolation on perturbations of Cartesian products. (Interpolation sur des perturbations d’ensembles produits.) Zbl 1085.11036
Roy, Damien
2
2002
On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) Zbl 0813.11041
Roy, Damien; Waldschmidt, Michel
2
1993
Simultaneous approximation in number fields. Zbl 0780.11060
Roy, Damien
2
1992
A measure of transcendence for singular points on conics. Zbl 1459.11152
Roy, Damien
2
2019
An interpolation formula for two variables. (Une formule d’interpolation en deux variables.) Zbl 1053.11063
Roy, Damien
2
2001
A Gel’fond type criterion in degree two. Zbl 1064.11049
Arbour, Benoit; Roy, Damien
2
2004
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
On the continued fraction expansion of a class of numbers. Zbl 1215.11070
Roy, Damien
2
2008
Markoff-Lagrange spectrum and extremal numbers. Zbl 1257.11071
Roy, Damien
2
2011
Matrices dont les coefficients sont des formes linéaires. (Matrices with linear forms as coefficients). Zbl 0712.11042
Roy, D.
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
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
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
Simultaneous approximation to values of the exponential function over the adeles. Zbl 1459.11147
Roy, Damien
1
2020
Simultaneous algebraic approximation of Liouville numbers. (Approximation algébrique simultanée de nombres de Liouville.) Zbl 0982.11041
Roy, Damien
1
2001
Diophantine approximation with sign constraints. Zbl 1286.11105
Roy, Damien
1
2014
Counter-examples in parametric geometry of numbers. Zbl 1456.11124
Rivard-Cooke, Martin; Roy, Damien
1
2020
Simultaneous approximation by conjugate algebraic numbers in fields of transcendence degree one. Zbl 1114.11061
Roy, Damien
1
2005
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
Dynamic policies for resource reallocation in a robotic mobile fulfillment system with time-varying demand. Zbl 07493224
Lamballais, T.; Merschformann, M.; Roy, D.; de Koster, M. B. M.; Azadeh, K.; Suhl, L.
1
2022
Dynamic policies for resource reallocation in a robotic mobile fulfillment system with time-varying demand. Zbl 07493224
Lamballais, T.; Merschformann, M.; Roy, D.; de Koster, M. B. M.; Azadeh, K.; Suhl, L.
1
2022
Rational approximation to real points on quadratic hypersurfaces. Zbl 1479.11120
Poëls, Anthony; Roy, Damien
2
2021
A transference principle for simultaneous rational approximation. Zbl 1460.11100
Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien
4
2020
Simultaneous approximation to values of the exponential function over the adeles. Zbl 1459.11147
Roy, Damien
1
2020
Counter-examples in parametric geometry of numbers. Zbl 1456.11124
Rivard-Cooke, Martin; Roy, Damien
1
2020
A measure of transcendence for singular points on conics. Zbl 1459.11152
Roy, Damien
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.
12
2017
On the topology of Diophantine approximation spectra. Zbl 1379.11069
Roy, Damien
6
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
8
2016
On Schmidt and Summerer parametric geometry of numbers. Zbl 1328.11076
Roy, Damien
26
2015
Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer. Zbl 1387.11041
Roy, Damien
3
2015
Diophantine approximation with sign constraints. Zbl 1286.11105
Roy, Damien
1
2014
Rational approximation to real points on conics. (Approximation rationnelle de points réels sur les coniques.) 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
Measures of algebraic approximation to Markoff extremal numbers. Zbl 1241.11071
Roy, Damien; Zelo, Dmitrij
3
2011
Markoff-Lagrange spectrum and extremal numbers. Zbl 1257.11071
Roy, Damien
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
10
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
10
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
34
2004
Diophantine approximation in small degree. Zbl 1077.11051
Roy, Damien
5
2004
Diophantine approximation by conjugate algebraic integers. Zbl 1055.11043
Roy, Damien; Waldschmidt, Michel
4
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
18
2003
Simultaneous approximation to a real number and its square. (Approximation simultanée d’un nombre et de son carré.) Zbl 1038.11042
Roy, Damien
16
2003
Interpolation formulas and auxiliary functions. Zbl 1010.11039
Roy, Damien
6
2002
Interpolation on perturbations of Cartesian products. (Interpolation sur des perturbations d’ensembles produits.) Zbl 1085.11036
Roy, Damien
2
2002
Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt. Zbl 0966.11032
13
2001
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
4
2001
An interpolation formula for two variables. (Une formule d’interpolation en deux variables.) Zbl 1053.11063
Roy, Damien
2
2001
Simultaneous algebraic approximation of Liouville numbers. (Approximation algébrique simultanée de nombres de Liouville.) Zbl 0982.11041
Roy, Damien
1
2001
Criteria of algebraic independence with multiplicities and interpolation determinants. Zbl 0923.11106
Laurent, Michel; Roy, Damien
8
1999
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
Addendum and erratum to an absolute Siegel’s lemma. Zbl 0910.11028
Roy, Damien; Thunder, Jeffrey Lin
7
1999
Simultaneous approximation and algebraic independence. Zbl 0916.11042
Roy, Damien; Waldschmidt, Michel
7
1997
Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) 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
10
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. (Autour du théorème du sous-groupe algébrique.) 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
8
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
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
Matrices dont les coefficients sont des formes linéaires. (Matrices with linear forms as coefficients). Zbl 0712.11042
Roy, D.
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
2
1990
all top 5

Cited by 97 Authors

29 Roy, Damien
13 Schleischitz, Johannes
9 Bugeaud, Yann
7 Gaudron, Éric
7 Waldschmidt, Michel
5 Chen, Huayi
5 Fischler, Stéphane
5 Laurent, Michel
5 Philippon, Patrice
5 Poels, Anthony
5 Schmidt, Wolfgang M.
5 Summerer, Leonhard
5 Widmer, Martin
4 Fukshansky, Lenny
4 Marnat, Antoine
3 Adamczewski, Boris
3 Ballaÿ, François
3 Diaz, Guy
3 Guan, Lifan
3 Moshchevitin, Nikolay G.
3 Thunder, Jeffrey Lin
2 Allouche, Jean-Paul Simon
2 Batzaya, Gantsooj
2 Evertse, Jan-Hendrik
2 German, Oleg N.
2 Ghosh, Anish
2 Kleinbock, Dmitry Ya.
2 Nakamaye, Michael
2 Rémond, Gaël
2 Simmons, David
2 Talamanca, Valerio
1 Akhunzhanov, Renat K.
1 Alam, Mahbub
1 Amoroso, Francesco Antonio
1 Amou, Masaaki
1 An, Jinpeng
1 Andersen, Nickolas
1 Aschenbrenner, Matthias
1 Badziahin, Dmitry
1 Barrera, Waldemar
1 Bel, Pierre
1 Beresnevich, Victor V.
1 Betina, Adel
1 Calegari, Frank
1 Cano Cordero, Angel
1 Chan, Wai Kiu
1 Cheung, Yitwah
1 Chevallier, Nicolas
1 Chow, Sam
1 Das, Tushar Kanti
1 David, Sinnou
1 Dimitrov, Mladen
1 Duke, William Drexel
1 Eldredge, Lydia
1 Ferretti, Roberto Giorgio
1 Fici, Gabriele
1 Fishman, Lior
1 Fogg, N. Pytheas
1 Frei, Christopher
1 Gelbord, Boaz
1 Gras, Georges
1 Grinspan, Pierre
1 Habegger, Philipp
1 Henk, Martin
1 Henshaw, Glenn R.
1 Hirata-Kohno, Noriko
1 Hurlburt, Chris
1 Ikoma, Hideaki
1 Keita, Aminata D. T.
1 Liebendörfer, Christine
1 Marcovecchio, Raffaele
1 Masser, David William
1 Mazur, Barry
1 Meshulam, Roy
1 Navarrete, Juan Pablo
1 Nguyen, Ngoc Ai Van
1 Pekker, Alexander
1 Petersen, Kathleen L.
1 Phunphayap, Phakhinkon Napp
1 Pila, Jonathan
1 Pilon, Samuel
1 Pongsriiam, Prapanpong
1 Poulakis, Dimitrios
1 Ramírez, Felipe A.
1 Rivard-Cooke, Martin
1 Seade, Jose Antonio
1 Shi, Ronggang
1 Thakur, Dinesh S.
1 Thiel, Carsten
1 Urbański, Mariusz
1 Vaaler, Jeffrey D.
1 Velani, Sanju L.
1 Villani, Eric
1 Weiss, Barak
1 Yu, Han
1 Zamboni, Luca Quardo
1 Zannier, Umberto M.
all top 5

Cited in 64 Serials

18 Journal de Théorie des Nombres de Bordeaux
17 Journal of Number Theory
6 Acta Arithmetica
6 Annales de l’Institut Fourier
6 Monatshefte für Mathematik
6 Transactions of the American Mathematical Society
5 Rocky Mountain Journal of Mathematics
5 International Journal of Number Theory
4 Mathematische Zeitschrift
4 Mathematika
3 Israel Journal of Mathematics
3 Advances in Mathematics
3 Proceedings of the American Mathematical Society
3 Indagationes Mathematicae. New Series
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 Compositio Mathematica
2 Inventiones Mathematicae
2 Manuscripta Mathematica
2 Theoretical Computer Science
2 The Ramanujan Journal
2 Annals of Mathematics. Second Series
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Communications in Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Periodica Mathematica Hungarica
1 Beiträge zur Algebra und Geometrie
1 Annali di Matematica Pura ed Applicata. Serie Quarta
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 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 Journal of the American Mathematical Society
1 Sugaku Expositions
1 L’Enseignement Mathématique. 2e Série
1 Linear Algebra and its Applications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
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 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