Poëls, Anthony; Roy, Damien Parametric geometry of numbers over a number field and extension of scalars. (English) Zbl 07771232 Bull. Soc. Math. Fr. 151, No. 2, 257-303 (2023). MSC: 11J13 11H06 11J82 PDFBibTeX XMLCite \textit{A. Poëls} and \textit{D. Roy}, Bull. Soc. Math. Fr. 151, No. 2, 257--303 (2023; Zbl 07771232) Full Text: DOI arXiv
Poëls, Anthony; Roy, Damien Simultaneous rational approximation to successive powers of a real number. (English) Zbl 1504.11076 Trans. Am. Math. Soc. 375, No. 9, 6385-6415 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{A. Poëls} and \textit{D. Roy}, Trans. Am. Math. Soc. 375, No. 9, 6385--6415 (2022; Zbl 1504.11076) Full Text: DOI arXiv
Poëls, Anthony; Roy, Damien Rational approximation to real points on quadratic hypersurfaces. (English) Zbl 1479.11120 J. Lond. Math. Soc., II. Ser. 103, No. 2, 672-696 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{A. Poëls} and \textit{D. Roy}, J. Lond. Math. Soc., II. Ser. 103, No. 2, 672--696 (2021; Zbl 1479.11120) Full Text: DOI arXiv
Rivard-Cooke, Martin; Roy, Damien Counter-examples in parametric geometry of numbers. (English) Zbl 1456.11124 Acta Arith. 196, No. 3, 303-323 (2020). MSC: 11J13 11H06 11J82 PDFBibTeX XMLCite \textit{M. Rivard-Cooke} and \textit{D. Roy}, Acta Arith. 196, No. 3, 303--323 (2020; Zbl 1456.11124) Full Text: DOI arXiv
Nguyen, Ngoc Ai Van; Poëls, Anthony; Roy, Damien A transference principle for simultaneous rational approximation. (English. French summary) Zbl 1460.11100 J. Théor. Nombres Bordx. 32, No. 2, 387-402 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{N. A. Van Nguyen} et al., J. Théor. Nombres Bordx. 32, No. 2, 387--402 (2020; Zbl 1460.11100) Full Text: DOI arXiv
Roy, Damien Simultaneous approximation to values of the exponential function over the adeles. (English) Zbl 1459.11147 Math. Ann. 377, No. 3-4, 1057-1093 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J13 11J61 11J82 11H06 PDFBibTeX XMLCite \textit{D. Roy}, Math. Ann. 377, No. 3--4, 1057--1093 (2020; Zbl 1459.11147) Full Text: DOI arXiv
Champagne, Jérémy; Roy, Damien A transference inequality for rational approximation to points in geometric progression. (English) Zbl 1485.11112 Hardy-Ramanujan J. 42, 70-72 (2019). Reviewer: Mahadi Ddamulira (Kampala) MSC: 11J82 11J83 PDFBibTeX XMLCite \textit{J. Champagne} and \textit{D. Roy}, Hardy-Ramanujan J. 42, 70--72 (2019; Zbl 1485.11112) Full Text: arXiv Link
Roy, Damien A measure of transcendence for singular points on conics. (English. French summary) Zbl 1459.11152 J. Théor. Nombres Bordx. 31, No. 2, 361-369 (2019). Reviewer: Jan Šustek (Ostrava) MSC: 11J82 11J13 11J87 PDFBibTeX XMLCite \textit{D. Roy}, J. Théor. Nombres Bordx. 31, No. 2, 361--369 (2019; Zbl 1459.11152) Full Text: DOI arXiv
Roy, Damien; Schleischitz, Johannes Numbers with almost all convergents in a Cantor set. (English) Zbl 1442.11016 Can. Math. Bull. 62, No. 4, 869-875 (2019). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 11A55 11J25 11J82 PDFBibTeX XMLCite \textit{D. Roy} and \textit{J. Schleischitz}, Can. Math. Bull. 62, No. 4, 869--875 (2019; Zbl 1442.11016) Full Text: DOI arXiv
Roy, Damien Approximation simultanée des valeurs de la fonction exponentielle dans les adèles. arXiv:1905.00343 Preprint, arXiv:1905.00343 [math.NT] (2019). MSC: 11J13 11J61 11J82 11H06 BibTeX Cite \textit{D. Roy}, ``Approximation simultan\'ee des valeurs de la fonction exponentielle dans les ad\`eles'', Preprint, arXiv:1905.00343 [math.NT] (2019) Full Text: arXiv OA License
Roy, Damien On the topology of Diophantine approximation spectra. (English) Zbl 1379.11069 Compos. Math. 153, No. 7, 1512-1546 (2017). Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Compos. Math. 153, No. 7, 1512--1546 (2017; Zbl 1379.11069) Full Text: DOI arXiv
Nguyen, Ngoc Ai Van; Roy, Damien A small value estimate in dimension two involving translations by rational points. (English) Zbl 1369.11056 Int. J. Number Theory 12, No. 5, 1273-1293 (2016). Reviewer: Michael Coons (Callaghan) MSC: 11J85 11J81 PDFBibTeX XMLCite \textit{N. A. Van Nguyen} and \textit{D. Roy}, Int. J. Number Theory 12, No. 5, 1273--1293 (2016; Zbl 1369.11056) Full Text: DOI arXiv
Roy, Damien Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer. (English. French summary) Zbl 1387.11041 J. Théor. Nombres Bordx. 27, No. 2, 591-603 (2015). MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, J. Théor. Nombres Bordx. 27, No. 2, 591--603 (2015; Zbl 1387.11041) Full Text: DOI arXiv
Roy, Damien On Schmidt and Summerer parametric geometry of numbers. (English) Zbl 1328.11076 Ann. Math. (2) 182, No. 2, 739-786 (2015). Reviewer: Yaochen Zhu (Beijing) MSC: 11H06 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Ann. Math. (2) 182, No. 2, 739--786 (2015; Zbl 1328.11076) Full Text: DOI arXiv
Roy, Damien Diophantine approximation with sign constraints. (English) Zbl 1286.11105 Monatsh. Math. 173, No. 3, 417-432 (2014). MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Monatsh. Math. 173, No. 3, 417--432 (2014; Zbl 1286.11105) Full Text: DOI arXiv
Roy, Damien An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods. (Une version effective du théorème de Lindemann-Weierstrass par des méthodes d’indépendance algébrique.) (French. English summary) Zbl 1320.11067 Enseign. Math. (2) 59, No. 3-4, 287-306 (2013). MSC: 11J85 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Enseign. Math. (2) 59, No. 3--4, 287--306 (2013; Zbl 1320.11067) Full Text: DOI arXiv
Roy, Damien A small value estimate for \(\mathbb {G}_{a}\times\mathbb {G}_{m}\). (English) Zbl 1335.11060 Mathematika 59, No. 2, 333-363 (2013). MSC: 11J85 11J81 PDFBibTeX XMLCite \textit{D. Roy}, Mathematika 59, No. 2, 333--363 (2013; Zbl 1335.11060) Full Text: DOI arXiv
Lozier, Stéphane; Roy, Damien Simultaneous approximation to a real number and to its cube by rational numbers. (English) Zbl 1268.11091 Acta Arith. 156, No. 1, 39-73 (2012). Reviewer: Roland Quême (Brax) MSC: 11J13 11J04 11J82 PDFBibTeX XMLCite \textit{S. Lozier} and \textit{D. Roy}, Acta Arith. 156, No. 1, 39--73 (2012; Zbl 1268.11091) Full Text: DOI Link
Lozier, Stéphane; Roy, Damien Simultaneous approximation to a real number and to its cube. arXiv:1205.5041 Preprint, arXiv:1205.5041 [math.NT] (2012). MSC: 11J13 11J04 11J82 BibTeX Cite \textit{S. Lozier} and \textit{D. Roy}, ``Simultaneous approximation to a real number and to its cube'', Preprint, arXiv:1205.5041 [math.NT] (2012) Full Text: arXiv OA License
Roy, Damien; Zelo, Dmitrij Measures of algebraic approximation to Markoff extremal numbers. (English) Zbl 1241.11071 J. Lond. Math. Soc., II. Ser. 83, No. 2, 407-430 (2011). Reviewer: Alan Filipin (Zagreb) MSC: 11J13 11J04 11J82 PDFBibTeX XMLCite \textit{D. Roy} and \textit{D. Zelo}, J. Lond. Math. Soc., II. Ser. 83, No. 2, 407--430 (2011; Zbl 1241.11071) Full Text: DOI arXiv
Roy, Damien Small value estimates for the additive group. (English) Zbl 1200.11056 Int. J. Number Theory 6, No. 4, 919-956 (2010). Reviewer: Michel Waldschmidt (Paris) MSC: 11J85 11J81 PDFBibTeX XMLCite \textit{D. Roy}, Int. J. Number Theory 6, No. 4, 919--956 (2010; Zbl 1200.11056) Full Text: DOI arXiv
Roy, Damien Small value estimates for the multiplicative group. (English) Zbl 1214.11087 Acta Arith. 135, No. 4, 357-393 (2008). Reviewer: Michel Waldschmidt (Paris) MSC: 11J85 11J81 PDFBibTeX XMLCite \textit{D. Roy}, Acta Arith. 135, No. 4, 357--393 (2008; Zbl 1214.11087) Full Text: DOI arXiv
Roy, Damien On two exponents of approximation related to a real number and its square. (English) Zbl 1115.11036 Can. J. Math. 59, No. 1, 211-224 (2007). Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Can. J. Math. 59, No. 1, 211--224 (2007; Zbl 1115.11036) Full Text: DOI arXiv
Roy, Damien Simultaneous approximation by conjugate algebraic numbers in fields of transcendence degree one. (English) Zbl 1114.11061 Int. J. Number Theory 1, No. 3, 357-382 (2005). Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{D. Roy}, Int. J. Number Theory 1, No. 3, 357--382 (2005; Zbl 1114.11061) Full Text: DOI arXiv
Roy, Damien Diophantine approximation in small degree. (English) Zbl 1077.11051 Kisilevsky, Hershy (ed.) et al., Number theory. Papers from the 7th conference of the Canadian Number Theory Association, University of Montreal, Montreal, QC, Canada, May 19–25, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3331-6/pbk). CRM Proceedings & Lecture Notes 36, 269-285 (2004). Reviewer: Zhu Yaochen (Beijing) MSC: 11J13 11J04 11J82 PDFBibTeX XMLCite \textit{D. Roy}, CRM Proc. Lect. Notes 36, 269--285 (2004; Zbl 1077.11051) Full Text: arXiv
Roy, Damien; Waldschmidt, Michel Diophantine approximation by conjugate algebraic integers. (English) Zbl 1055.11043 Compos. Math. 140, No. 3, 593-612 (2004). Reviewer: Peter Bundschuh (Köln) MSC: 11J13 11J61 11J82 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Compos. Math. 140, No. 3, 593--612 (2004; Zbl 1055.11043) Full Text: DOI arXiv
Arbour, Benoit; Roy, Damien A Gel’fond type criterion in degree two. (English) Zbl 1064.11049 Acta Arith. 111, No. 1, 97-103 (2004). Reviewer: François Gramain (Saint-Etienne) MSC: 11J13 11J82 PDFBibTeX XMLCite \textit{B. Arbour} and \textit{D. Roy}, Acta Arith. 111, No. 1, 97--103 (2004; Zbl 1064.11049) Full Text: DOI arXiv Link
Roy, Damien Approximation to real numbers by cubic algebraic integers. I. (English) Zbl 1035.11028 Proc. Lond. Math. Soc., III. Ser. 88, No. 1, 42-62 (2004). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J04 11J13 11J82 11J68 PDFBibTeX XMLCite \textit{D. Roy}, Proc. Lond. Math. Soc. (3) 88, No. 1, 42--62 (2004; Zbl 1035.11028) Full Text: DOI arXiv
Roy, Damien Approximation to real numbers by cubic algebraic integers. II. (English) Zbl 1044.11061 Ann. Math. (2) 158, No. 3, 1081-1087 (2003). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J04 11J82 11J13 PDFBibTeX XMLCite \textit{D. Roy}, Ann. Math. (2) 158, No. 3, 1081--1087 (2003; Zbl 1044.11061) Full Text: DOI arXiv
Roy, Damien Interpolation formulas and auxiliary functions. (English) Zbl 1010.11039 J. Number Theory 94, No. 2, 248-285 (2002). Reviewer: P.Philippon (Paris) MSC: 11J81 11J85 11J89 41A05 32E30 PDFBibTeX XMLCite \textit{D. Roy}, J. Number Theory 94, No. 2, 248--285 (2002; Zbl 1010.11039) Full Text: DOI
Roy, Damien Simultaneous algebraic approximation of Liouville numbers. (Approximation algébrique simultanée de nombres de Liouville.) (French) Zbl 0982.11041 Can. Math. Bull. 44, No. 1, 115-120 (2001). Reviewer: P.Philippon (Paris) MSC: 11J82 11J85 PDFBibTeX XMLCite \textit{D. Roy}, Can. Math. Bull. 44, No. 1, 115--120 (2001; Zbl 0982.11041) Full Text: DOI
Laurent, Michel; Roy, Damien Criteria of algebraic independence with multiplicities and approximation by surfaces. (English) Zbl 0990.11047 J. Reine Angew. Math. 536, 65-114 (2001). Reviewer: M.Laurent (Marseille), D.Roy (Ottawa) MSC: 11J85 11J82 PDFBibTeX XMLCite \textit{M. Laurent} and \textit{D. Roy}, J. Reine Angew. Math. 536, 65--114 (2001; Zbl 0990.11047) Full Text: DOI
Roy, Damien An arithmetic criterion for the values of the exponential function. (English) Zbl 0981.11025 Acta Arith. 97, No. 2, 183-194 (2001). Reviewer: John H.Loxton (North Ryde) MSC: 11J82 11J85 PDFBibTeX XMLCite \textit{D. Roy}, Acta Arith. 97, No. 2, 183--194 (2001; Zbl 0981.11025) Full Text: DOI
Nesterenko, Yu. V. (ed.); Philippon, Patrice (ed.) [Amoroso, Francesco; Bertrand, Daniel; Brownawell, W. Dale; Diaz, Guy; Laurent, Michel; Nishioka, Ku.; Rémond, Guy; Roy, Damien; Waldschmidt, Michel] 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. (English) Zbl 0966.11032 Lecture Notes in Mathematics. 1752. Berlin: Springer. xiii, 256 p. (2001). Reviewer: François Gramain (Saint-Etienne) MSC: 11J85 11-02 11F03 11J91 PDFBibTeX XMLCite \textit{Yu. V. Nesterenko} (ed.) and \textit{P. Philippon} (ed.), 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. Berlin: Springer (2001; Zbl 0966.11032) Full Text: DOI Link
Laurent, Michel; Roy, Damien Sur l’approximation algébrique en degré de transcendance un. (On algebraic approximation in transcendence degree one). (French) Zbl 0923.11105 Ann. Inst. Fourier 49, No. 1, 27-55 (1999). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{M. Laurent} and \textit{D. Roy}, Ann. Inst. Fourier 49, No. 1, 27--55 (1999; Zbl 0923.11105) Full Text: DOI Numdam EuDML
Laurent, Michel; Roy, Damien Criteria of algebraic independence with multiplicities and interpolation determinants. (English) Zbl 0923.11106 Trans. Am. Math. Soc. 351, No. 5, 1845-1870 (1999). Reviewer: M.Waldschmidt (Paris) MSC: 11J85 11J04 11J81 PDFBibTeX XMLCite \textit{M. Laurent} and \textit{D. Roy}, Trans. Am. Math. Soc. 351, No. 5, 1845--1870 (1999; Zbl 0923.11106) Full Text: DOI
Roy, Damien; Waldschmidt, Michel Simultaneous approximation and algebraic independence. (English) Zbl 0916.11042 Ramanujan J. 1, No. 4, 379-430 (1997). Reviewer: Guy Diaz (Saint-Etienne) MSC: 11J85 11J82 11J89 11J91 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Ramanujan J. 1, No. 4, 379--430 (1997; Zbl 0916.11042) Full Text: DOI
Roy, Damien; Waldschmidt, Michel Diophantine approximation and algebraic independence of logarithms. (Approximation diophantienne et indépendance algébrique de logarithmes.) (French) Zbl 0895.11030 Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 753-796 (1997). Reviewer: Peter Bundschuh (Köln) MSC: 11J85 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Ann. Sci. Éc. Norm. Supér. (4) 30, No. 6, 753--796 (1997; Zbl 0895.11030) Full Text: DOI Numdam EuDML
Roy, Damien; Waldschmidt, Michel Quadratic relations between logarithms of algebraic numbers. (English) Zbl 0860.11040 Proc. Japan Acad., Ser. A 71, No. 7, 151-153 (1995). Reviewer: P.Bundschuh (Köln) MSC: 11J81 11J85 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Proc. Japan Acad., Ser. A 71, No. 7, 151--153 (1995; Zbl 0860.11040) Full Text: DOI
Roy, Damien; Waldschmidt, Michel On the algebraic subgroup theorem. (Autour du théorème du sous-groupe algébrique.) (French) Zbl 0813.11041 Can. Math. Bull. 36, No. 3, 358-367 (1993). Reviewer: P.Bundschuh (Köln) MSC: 11J81 11R99 14L99 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Can. Math. Bull. 36, No. 3, 358--367 (1993; Zbl 0813.11041) Full Text: DOI
Roy, Damien On the \(v\)-adic independence of algebraic numbers. (English) Zbl 0788.11051 Gouvêa, Fernando Q. (ed.) et al., Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen’s University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 441-451 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11R27 11R33 11J81 PDFBibTeX XMLCite \textit{D. Roy}, in: Advances in number theory. The proceedings of the third conference of the Canadian Number Theory Association, held at Queen's University, Kingston, Canada, August 18-24, 1991. Oxford: Clarendon Press. 441--451 (1993; Zbl 0788.11051)
Roy, Damien Matrices whose coefficients are linear forms in logarithms. (English) Zbl 0763.11030 J. Number Theory 41, No. 1, 22-47 (1992). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 11R27 PDFBibTeX XMLCite \textit{D. Roy}, J. Number Theory 41, No. 1, 22--47 (1992; Zbl 0763.11030) Full Text: DOI
Roy, Damien Transcendance et questions de répartition dans les groupes algébriques. (Transcendence and questions of distribution in algebraic groups). (French) Zbl 0763.11031 Approximations diophantiennes et nombres transcendants, C.-R. Colloq., Luminy/Fr. 1990, 249-274 (1992). Reviewer: M.Waldschmidt (Paris) MSC: 11J81 PDFBibTeX XMLCite \textit{D. Roy}, in: Approximations diophantiennes et nombres transcendants. Comptes-rendus du colloque tenu au C.I.R.M. de Luminy, France, 18-22 Juin, 1990. Berlin etc.: de Gruyter. 249--274 (1992; Zbl 0763.11031)
Roy, D. Matrices dont les coefficients sont des formes linéaires. (Matrices with linear forms as coefficients). (French) Zbl 0712.11042 Sémin. Théor. Nombres, Paris/Fr. 1987-88, Prog. Math. 81, 273-281 (1990). Reviewer: M.Waldschmidt MSC: 11J85 11J72 15A21 11J81 11J86 PDFBibTeX XML
Roy, Damien Sous-groupes minimaux des groupes de Lie commutatifs réels, et applications arithmétiques. (Minimal subgroups of commutative real Lie groups and arithmetic applications). (French) Zbl 0672.10024 Acta Arith. 56, No. 3, 257-269 (1990). Reviewer: D.Roy MSC: 11J72 11J81 22E15 PDFBibTeX XMLCite \textit{D. Roy}, Acta Arith. 56, No. 3, 257--269 (1990; Zbl 0672.10024) Full Text: DOI EuDML
Roy, Damien Sous-groupes minimaux de \(R^ n\). (Minimal subgroups of \(R^ n)\). (French) Zbl 0719.11042 C. R. Acad. Sci., Paris, Sér. I 307, No. 9, 423-426 (1988). MSC: 11J86 11S99 PDFBibTeX XMLCite \textit{D. Roy}, C. R. Acad. Sci., Paris, Sér. I 307, No. 9, 423--426 (1988; Zbl 0719.11042)