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
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 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
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
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 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 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
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
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 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; 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 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 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 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 An interpolation formula for two variables. (Une formule d’interpolation en deux variables.) (French) Zbl 1053.11063 J. Théor. Nombres Bordx. 13, No. 1, 315-323 (2001). Reviewer: Patrice Philippon (Paris) MSC: 11J85 32E30 41A10 PDFBibTeX XMLCite \textit{D. Roy}, J. Théor. Nombres Bordx. 13, No. 1, 315--323 (2001; Zbl 1053.11063) Full Text: DOI Numdam EuDML EMIS
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; 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 Points whose coordinates are logarithms of algebraic numbers on algebraic varieties. (English) Zbl 0833.11031 Acta Math. 175, No. 1, 49-73 (1995). Reviewer: M.Waldschmidt (Paris) MSC: 11J85 14M15 14M12 PDFBibTeX XMLCite \textit{D. Roy}, Acta Math. 175, No. 1, 49--73 (1995; Zbl 0833.11031) Full Text: DOI
Roy, Damien Simultaneous approximation in number fields. (English) Zbl 0780.11060 Invent. Math. 109, No. 3, 547-556 (1992). Reviewer: D.Roy (Montréal) MSC: 11R99 14G25 22E15 11J99 PDFBibTeX XMLCite \textit{D. Roy}, Invent. Math. 109, No. 3, 547--556 (1992; Zbl 0780.11060) Full Text: DOI EuDML
Roy, Damien 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 \({\mathbb{R}}^ n)\). (French) Zbl 0729.12014 Bull. Soc. Math. Fr. 118, No. 2, 171-191 (1990). Reviewer: M.Waldschmidt (Paris) MSC: 12F99 22E15 11R45 54H11 PDFBibTeX XMLCite \textit{D. Roy}, Bull. Soc. Math. Fr. 118, No. 2, 171--191 (1990; Zbl 0729.12014) Full Text: DOI Numdam EuDML