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
Champagne, Jérémy; Roy, Damien Diophantine approximation with constraints. (English) Zbl 1523.11125 Acta Arith. 207, No. 1, 57-99 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11J13 11H50 11J25 PDFBibTeX XMLCite \textit{J. Champagne} and \textit{D. Roy}, Acta Arith. 207, No. 1, 57--99 (2023; Zbl 1523.11125) 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
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 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
Pilon, Samuel; Roy, Damien Construction of extremal numbers for the problem of simultaneous approximation to a number and to its square. (Construction de nombres extrémaux pour le problème de l’approximation simultanée d’un nombre et de son carré.) (French. English summary) Zbl 1440.11122 J. Théor. Nombres Bordx. 30, No. 3, 873-877 (2018). MSC: 11J13 11J61 PDFBibTeX XMLCite \textit{S. Pilon} and \textit{D. Roy}, J. Théor. Nombres Bordx. 30, No. 3, 873--877 (2018; Zbl 1440.11122) Full Text: DOI
Roy, Damien; Waldschmidt, Michel Parametric geometry of numbers in function fields. (English) Zbl 1428.11126 Mathematika 63, No. 3, 1114-1135 (2017). MSC: 11J13 11H06 PDFBibTeX XMLCite \textit{D. Roy} and \textit{M. Waldschmidt}, Mathematika 63, No. 3, 1114--1135 (2017; Zbl 1428.11126) Full Text: DOI arXiv
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
Pilon, Samuel; Roy, Damien Construction de nombres extrémaux pour le problème de l’approximation simultanée d’un nombre et de son carré. arXiv:1712.07952 Preprint, arXiv:1712.07952 [math.NT] (2017). MSC: 11J13 11J61 BibTeX Cite \textit{S. Pilon} and \textit{D. Roy}, ``Construction de nombres extr\'emaux pour le probl\`eme de l'approximation simultan\'ee d'un nombre et de son carr\'e'', Preprint, arXiv:1712.07952 [math.NT] (2017) Full Text: arXiv OA License
Roy, Damien Spectrum of the exponents of best rational approximation. (English) Zbl 1338.11061 Math. Z. 283, No. 1-2, 143-155 (2016). Reviewer: Mumtaz Hussain (Callaghan) MSC: 11J13 PDFBibTeX XMLCite \textit{D. Roy}, Math. Z. 283, No. 1--2, 143--155 (2016; Zbl 1338.11061) 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 Rational approximation to real points on conics. (Approximation rationnelle de points réels sur les coniques.) (English. French summary) Zbl 1304.11064 Ann. Inst. Fourier 63, No. 6, 2331-2348 (2013). Reviewer: Roland Quême (Brax) MSC: 11J13 14H50 PDFBibTeX XMLCite \textit{D. Roy}, Ann. Inst. Fourier 63, No. 6, 2331--2348 (2013; Zbl 1304.11064) 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 Markoff-Lagrange spectrum and extremal numbers. (English) Zbl 1257.11071 Acta Math. 206, No. 2, 325-362 (2011). Reviewer: Thomas Schmidt (Corvallis) MSC: 11J06 11J13 PDFBibTeX XMLCite \textit{D. Roy}, Acta Math. 206, No. 2, 325--362 (2011; Zbl 1257.11071) Full Text: DOI arXiv
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; Villani, Éric On the ring of approximation triples attached to a class of extremal real numbers. (English) Zbl 1186.11041 Indag. Math., New Ser. 19, No. 2, 299-324 (2008). MSC: 11J13 05A15 13A99 PDFBibTeX XMLCite \textit{D. Roy} and \textit{É. Villani}, Indag. Math., New Ser. 19, No. 2, 299--324 (2008; Zbl 1186.11041) Full Text: DOI arXiv
Roy, Damien On the continued fraction expansion of a class of numbers. (English) Zbl 1215.11070 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 347-361 (2008). Reviewer: Simon Kristensen (Aarhus) MSC: 11J70 11J04 11J13 PDFBibTeX XMLCite \textit{D. Roy}, Dev. Math. 16, 347--361 (2008; Zbl 1215.11070) Full Text: DOI arXiv
Roy, Damien On simultaneous rational approximations to a real number, its square, and its cube. (English) Zbl 1228.11100 Acta Arith. 133, No. 2, 185-197 (2008). MSC: 11J13 11J04 PDFBibTeX XMLCite \textit{D. Roy}, Acta Arith. 133, No. 2, 185--197 (2008; Zbl 1228.11100) 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 Simultaneous approximation to a real number and its square. (Approximation simultanée d’un nombre et de son carré.) (French. Abridged English version) Zbl 1038.11042 C. R., Math., Acad. Sci. Paris 336, No. 1, 1-6 (2003). Reviewer: Michel Waldschmidt (Paris) MSC: 11J13 PDFBibTeX XMLCite \textit{D. Roy}, C. R., Math., Acad. Sci. Paris 336, No. 1, 1--6 (2003; Zbl 1038.11042) Full Text: DOI
Roy, Damien Approximation simultanée d’un nombre et de son carré [Simultaneous approximation to a real number and its square]. arXiv:math/0210395 Preprint, arXiv:math/0210395 [math.NT] (2002). MSC: 11J13 11J04 BibTeX Cite \textit{D. Roy}, ``Approximation simultan\'ee d'un nombre et de son carr\'e [Simultaneous approximation to a real number and its square]'', Preprint, arXiv:math/0210395 [math.NT] (2002) Full Text: arXiv
Roy, Damien; Thunder, Jeffrey Lin Addendum and erratum to an absolute Siegel’s lemma. (English) Zbl 0910.11028 J. Reine Angew. Math. 508, 47-51 (1999). MSC: 11H50 11R56 11J13 11J61 PDFBibTeX XMLCite \textit{D. Roy} and \textit{J. L. Thunder}, J. Reine Angew. Math. 508, 47--51 (1999; Zbl 0910.11028) Full Text: DOI EuDML
Roy, Damien; Thunder, Jeffrey Lin Bases of number fields with small height. (English) Zbl 0905.11031 Rocky Mt. J. Math. 26, No. 3, 1089-1098 (1996). Reviewer: P.Corvaja (Udine) MSC: 11J13 11R04 11R80 PDFBibTeX XMLCite \textit{D. Roy} and \textit{J. L. Thunder}, Rocky Mt. J. Math. 26, No. 3, 1089--1098 (1996; Zbl 0905.11031) Full Text: DOI Link
Roy, Damien; Thunder, Jeffrey Lin A note on Siegel’s lemma over number fields. (English) Zbl 0839.11011 Monatsh. Math. 120, No. 3-4, 307-318 (1995). Reviewer: M.Waldschmidt (Paris) MSC: 11D04 11R29 11H16 PDFBibTeX XMLCite \textit{D. Roy} and \textit{J. L. Thunder}, Monatsh. Math. 120, No. 3--4, 307--318 (1995; Zbl 0839.11011) Full Text: DOI EuDML
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, 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 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)