Edit Profile (opens in new tab) Rivoal, Tanguy Co-Author Distance Author ID: rivoal.tanguy Published as: Rivoal, Tanguy; Rivoal, T. Documents Indexed: 89 Publications since 2000, including 2 Books and 8 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 35 Reviews Co-Authors: 15 Co-Authors with 60 Joint Publications 454 Co-Co-Authors all top 5 Co-Authors 30 single-authored 23 Fischler, Stéphane 13 Krattenthaler, Christian Friedrich 6 Roques, Julien 5 Prévost, Marc 4 Cresson, Jacky 3 Delaygue, Éric 3 Zudilin, Wadim 2 Adamczewski, Boris 2 Bostan, Alin 2 Salvy, Bruno 1 Ball, Keith Martin 1 Di Vizio, Lucia 1 Hindry, Marc 1 Seuret, Stéphane 1 Welter, Michael all top 5 Serials 4 Journal de Théorie des Nombres de Bordeaux 3 Bulletin of the London Mathematical Society 3 Journal of Number Theory 3 The Ramanujan Journal 2 Israel Journal of Mathematics 2 Acta Arithmetica 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Experimental Mathematics 2 Journal of the Australian Mathematical Society 2 International Journal of Number Theory 2 Journal de l’École Polytechnique – Mathématiques 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Hardy-Ramanujan Journal 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Séminaire Lotharingien de Combinatoire 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 South East Asian Journal of Mathematics and Mathematical Sciences 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Proceedings of the Steklov Institute of Mathematics 1 Séminaires et Congrès 1 Communications in Number Theory and Physics 1 Uniform Distribution Theory 1 Moscow Journal of Combinatorics and Number Theory 1 Annales Mathématiques du Québec 1 Actes des Rencontres du C.I.R.M. all top 5 Fields 84 Number theory (11-XX) 44 Special functions (33-XX) 18 Approximations and expansions (41-XX) 15 Ordinary differential equations (34-XX) 7 Algebraic geometry (14-XX) 6 Functions of a complex variable (30-XX) 4 Field theory and polynomials (12-XX) 4 Sequences, series, summability (40-XX) 4 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 64 Publications have been cited 585 times in 322 Documents Cited by ▼ Year ▼ Irrationality of infinitely many values of the zeta function at odd integers. (Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs.) Zbl 1058.11051 Ball, Keith; Rivoal, Tanguy 91 2001 There are infinitely many irrational values of the Riemann zeta function at odd integers. (La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs.) Zbl 0973.11072 Rivoal, Tanguy 79 2000 Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046 Rivoal, T.; Zudilin, W. 23 2003 Hypergeometry and Riemann’s zeta function. (Hypergéométrie et function zêta de Riemann.) Zbl 1113.11039 Krattenthaler, C.; Rivoal, T. 22 2007 Irrationality of at least one of the nine numbers \(\zeta(5),\zeta(7),\dots,\zeta(21)\). (Irrationalité d’au moins un des neuf nombres \(\zeta(5), \zeta(7),\dots,\zeta(21)\).) Zbl 1015.11033 Rivoal, Tanguy 20 2002 On the integrality of the Taylor coefficients of mirror maps. Zbl 1267.11077 Krattenthaler, Christian; Rivoal, Tanguy 18 2010 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038 Krattenthaler, C.; Rivoal, T.; Zudilin, W. 17 2006 On the values of \(G\)-functions. Zbl 1304.11070 Fischler, Stéphane; Rivoal, Tanguy 16 2014 Irrationality measures for some automatic real numbers. Zbl 1205.11080 Adamczewski, Boris; Rivoal, Tanguy 16 2009 How can we escape Thomae’s relations? Zbl 1092.33006 Krattenthaler, Christian; Rivoal, Tanguy 15 2006 Rational approximations for values of derivatives of the gamma function. Zbl 1236.11061 Rivoal, Tanguy 14 2009 Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053 Fischler, S.; Rivoal, T. 14 2003 On the bits counting function of real numbers. Zbl 1234.11099 Rivoal, Tanguy 12 2008 An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series. Zbl 1114.33007 Krattenthaler, C.; Rivoal, T. 12 2007 Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090 Fischler, Stéphane; Rivoal, Tanguy 11 2016 Exceptional values of \(E\)-functions at algebraic points. Zbl 1450.11076 Adamczewski, Boris; Rivoal, Tanguy 10 2018 On Dwork’s \(p\)-adic formal congruences theorem and hypergeometric mirror maps. Zbl 1382.11085 Delaygue, E.; Rivoal, T.; Roques, J. 10 2016 Linear independence of values of polylogarithms. (Indépendance linéaire des valeurs des polylogarithmes.) Zbl 1079.11038 Rivoal, Tanguy 9 2003 Remainder Padé approximants for the exponential function. Zbl 1102.41016 Prévost, Marc; Rivoal, Tanguy 8 2007 Linear independence of values of \(G\)-functions. Zbl 1446.11136 Fischler, Stéphane; Rivoal, Tanguy 8 2020 On the arithmetic nature of the values of the gamma function, Euler’s constant, and Gompertz’s constant. Zbl 1288.11073 Rivoal, T. 8 2012 Euler numbers, Padé approximants and Catalan’s constant. (Nombres d’Euler, approximants de Padé et constante de Catalan.) Zbl 1152.11337 Rivoal, Tanguy 7 2006 Simultaneous generation of Koecher and Almkvist-Granville’s Apéry-like formulae. Zbl 1127.11057 Rivoal, T. 7 2004 On the convergence of Diophantine Dirichlet series. Zbl 1271.11072 Rivoal, T. 7 2012 Rational approximations of values of the Gamma function on rationals. (Approximations rationnelles des valeurs de la fonction Gamma aux rationnels.) Zbl 1206.11095 Rivoal, Tanguy 7 2010 Hadamard products of algebraic functions. Zbl 1315.11022 Rivoal, T.; Roques, J. 6 2014 Hardy-Littlewood series and even continued fractions. Zbl 1370.40004 Rivoal, Tanguy; Seuret, Stéphane 6 2015 On the integrality of the Taylor coefficients of mirror maps. II. Zbl 1186.14042 Krattenthaler, Christian; Rivoal, Tanguy 6 2009 Convergents and irrationality measures of logarithms. Zbl 1227.11086 Rivoal, Tanguy 6 2007 Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094 Fischler, Stéphane; Rivoal, Tanguy 6 2010 Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003 Cresson, J.; Fischler, S.; Rivoal, T. 6 2008 Simultaneous polynomial approximations of the Lerch function. Zbl 1186.41006 Rivoal, Tanguy 5 2009 Convergence and modular type properties of a twisted Riemann series. Zbl 1349.11102 Rivoal, T.; Roques, J. 5 2013 A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039 Fischler, Stéphane; Rivoal, Tanguy 5 2006 A note on odd zeta values. Zbl 1470.11203 Rivoal, Tanguy; Zudilin, Wadim 5 2020 Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093 Fischler, S.; Rivoal, T. 4 2018 Holomorphic solutions of \(E\)-operators. Zbl 1430.11103 Rivoal, Tanguy; Roques, Julien 4 2017 Multivariate \(p\)-adic formal congruences and integrality of Taylor coefficients of mirror maps. Zbl 1308.11099 Krattenthaler, C.; Rivoal, T. 4 2011 Symmetry phenomena in linear forms in multiple zeta values. (Phénomènes de symétrie dans des formes linéaires en polyzêtas.) Zbl 1227.11097 Cresson, J.; Fischler, S.; Rivoal, T. 4 2008 Explicit degree bounds for right factors of linear differential operators. Zbl 1505.34128 Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno 4 2021 Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054 Fischler, S.; Rivoal, T. 3 2018 Extremality properties of some Diophantine series. Zbl 1263.11073 Rivoal, Tanguy 3 2010 On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098 Fischler, Stéphane; Rivoal, Tanguy 3 2017 On the algebraic dependence of \(E\)-functions. Zbl 1398.30016 Rivoal, T.; Roques, J. 3 2016 Siegel’s problem for \(E\)-functions of order 2. Zbl 07615278 Rivoal, T.; Roques, J. 3 2021 Rational approximations of values of the gamma function to the rational numbers: the case of powers. (Approximations rationnelles des valeurs de la fonction Gamma aux rationnels: le cas des puissances.) Zbl 1264.11057 Rivoal, Tanguy 3 2010 On a linear form for Catalan’s constant. Zbl 1217.11070 Krattenthaler, C.; Rivoal, T. 3 2008 Analytic properties of mirror maps. Zbl 1278.30004 Krattenthaler, C.; Rivoal, T. 3 2012 Values of globally bounded \(G\)-functions. Zbl 1441.11183 Fischler, S.; Rivoal, T. 2 2019 On the distribution of multiples of real numbers. Zbl 1323.11061 Rivoal, Tanguy 2 2011 On non-entire arithmetic functions. (Sur les fonctions arithmétiques non entières.) Zbl 1157.32003 Rivoal, Tanguy; Welter, Michael 2 2009 Arithmetical applications of Lagrange interpolation. (Applications arithmétiques de l’interpolation lagrangienne.) Zbl 1178.11050 Rivoal, Tanguy 2 2009 Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099 Fischler, S.; Rivoal, T. 2 2021 Application of Padé approximation to Euler’s constant and Stirling’s formula. Zbl 1471.11291 Prévost, M.; Rivoal, T. 2 2021 Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104 Fischler, Stéphane; Rivoal, Tanguy 2 2016 Golomb’s \(\Lambda\)-calculus and the Bateman-Horn conjecture. (Le \(\Lambda\)-calcul de Golomb et la conjecture de Bateman-Horn.) Zbl 1180.11032 Hindry, Marc; Rivoal, Tanguy 2 2005 Values of the beta function: from Ramanujan’s continued fraction to Hermite-Padé approximants. Zbl 1406.11070 Rivoal, T. 1 2017 Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055 Fischler, S.; Rivoal, T. 1 2018 Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function. Zbl 1475.11152 Prévost, M.; Rivoal, T. 1 2021 On Galochkin’s characterization of hypergeometric \(G\)-functions. Zbl 1505.33005 Rivoal, Tanguy 1 2022 Padé approximants of \(q\)-polylogarithm. (Approximants de Padé des \(q\)-polylogarithmes.) Zbl 1227.11085 Krattenthaler, Christian; Rivoal, Tanguy 1 2008 Hypergeometric series and irrationality of the values of the Riemann zeta function. (Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann.) Zbl 1041.11051 Rivoal, Tanguy 1 2003 On Siegel’s problem for \(E\)-functions. Zbl 1512.33011 Fischler, Stéphane; Rivoal, Tanguy 1 2022 On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 1500.11022 Delaygue, É.; Rivoal, T. 1 2022 On Galochkin’s characterization of hypergeometric \(G\)-functions. Zbl 1505.33005 Rivoal, Tanguy 1 2022 On Siegel’s problem for \(E\)-functions. Zbl 1512.33011 Fischler, Stéphane; Rivoal, Tanguy 1 2022 On primary pseudo-polynomials (around Ruzsa’s conjecture). Zbl 1500.11022 Delaygue, É.; Rivoal, T. 1 2022 Explicit degree bounds for right factors of linear differential operators. Zbl 1505.34128 Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno 4 2021 Siegel’s problem for \(E\)-functions of order 2. Zbl 07615278 Rivoal, T.; Roques, J. 3 2021 Linear independence of values of \(G\)-functions. II: Outside the disk of convergence. Zbl 1476.11099 Fischler, S.; Rivoal, T. 2 2021 Application of Padé approximation to Euler’s constant and Stirling’s formula. Zbl 1471.11291 Prévost, M.; Rivoal, T. 2 2021 Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function. Zbl 1475.11152 Prévost, M.; Rivoal, T. 1 2021 Linear independence of values of \(G\)-functions. Zbl 1446.11136 Fischler, Stéphane; Rivoal, Tanguy 8 2020 A note on odd zeta values. Zbl 1470.11203 Rivoal, Tanguy; Zudilin, Wadim 5 2020 Values of globally bounded \(G\)-functions. Zbl 1441.11183 Fischler, S.; Rivoal, T. 2 2019 Exceptional values of \(E\)-functions at algebraic points. Zbl 1450.11076 Adamczewski, Boris; Rivoal, Tanguy 10 2018 Microsolutions of differential operators and values of arithmetic Gevrey series. Zbl 1431.11093 Fischler, S.; Rivoal, T. 4 2018 Rational approximation to values of \(G\)-functions, and their expansions in integer bases. Zbl 1393.11054 Fischler, S.; Rivoal, T. 3 2018 Erratum to: “Rational approximation to values of \(G\)-functions, and their expansions in integer bases”. Zbl 1393.11055 Fischler, S.; Rivoal, T. 1 2018 Holomorphic solutions of \(E\)-operators. Zbl 1430.11103 Rivoal, Tanguy; Roques, Julien 4 2017 On the denominators of the Taylor coefficients of \(G\)-functions. Zbl 1415.11098 Fischler, Stéphane; Rivoal, Tanguy 3 2017 Values of the beta function: from Ramanujan’s continued fraction to Hermite-Padé approximants. Zbl 1406.11070 Rivoal, T. 1 2017 Arithmetic theory of \(E\)-operators. (Théorie arithmétique des \(E\)-opérateurs.) Zbl 1370.11090 Fischler, Stéphane; Rivoal, Tanguy 11 2016 On Dwork’s \(p\)-adic formal congruences theorem and hypergeometric mirror maps. Zbl 1382.11085 Delaygue, E.; Rivoal, T.; Roques, J. 10 2016 On the algebraic dependence of \(E\)-functions. Zbl 1398.30016 Rivoal, T.; Roques, J. 3 2016 Multiple zeta values, Padé approximation and Vasilyev’s conjecture. Zbl 1412.11104 Fischler, Stéphane; Rivoal, Tanguy 2 2016 Hardy-Littlewood series and even continued fractions. Zbl 1370.40004 Rivoal, Tanguy; Seuret, Stéphane 6 2015 On the values of \(G\)-functions. Zbl 1304.11070 Fischler, Stéphane; Rivoal, Tanguy 16 2014 Hadamard products of algebraic functions. Zbl 1315.11022 Rivoal, T.; Roques, J. 6 2014 Convergence and modular type properties of a twisted Riemann series. Zbl 1349.11102 Rivoal, T.; Roques, J. 5 2013 On the arithmetic nature of the values of the gamma function, Euler’s constant, and Gompertz’s constant. Zbl 1288.11073 Rivoal, T. 8 2012 On the convergence of Diophantine Dirichlet series. Zbl 1271.11072 Rivoal, T. 7 2012 Analytic properties of mirror maps. Zbl 1278.30004 Krattenthaler, C.; Rivoal, T. 3 2012 Multivariate \(p\)-adic formal congruences and integrality of Taylor coefficients of mirror maps. Zbl 1308.11099 Krattenthaler, C.; Rivoal, T. 4 2011 On the distribution of multiples of real numbers. Zbl 1323.11061 Rivoal, Tanguy 2 2011 On the integrality of the Taylor coefficients of mirror maps. Zbl 1267.11077 Krattenthaler, Christian; Rivoal, Tanguy 18 2010 Rational approximations of values of the Gamma function on rationals. (Approximations rationnelles des valeurs de la fonction Gamma aux rationnels.) Zbl 1206.11095 Rivoal, Tanguy 7 2010 Irrationality exponent and rational approximations with prescribed growth. Zbl 1222.11094 Fischler, Stéphane; Rivoal, Tanguy 6 2010 Extremality properties of some Diophantine series. Zbl 1263.11073 Rivoal, Tanguy 3 2010 Rational approximations of values of the gamma function to the rational numbers: the case of powers. (Approximations rationnelles des valeurs de la fonction Gamma aux rationnels: le cas des puissances.) Zbl 1264.11057 Rivoal, Tanguy 3 2010 Irrationality measures for some automatic real numbers. Zbl 1205.11080 Adamczewski, Boris; Rivoal, Tanguy 16 2009 Rational approximations for values of derivatives of the gamma function. Zbl 1236.11061 Rivoal, Tanguy 14 2009 On the integrality of the Taylor coefficients of mirror maps. II. Zbl 1186.14042 Krattenthaler, Christian; Rivoal, Tanguy 6 2009 Simultaneous polynomial approximations of the Lerch function. Zbl 1186.41006 Rivoal, Tanguy 5 2009 On non-entire arithmetic functions. (Sur les fonctions arithmétiques non entières.) Zbl 1157.32003 Rivoal, Tanguy; Welter, Michael 2 2009 Arithmetical applications of Lagrange interpolation. (Applications arithmétiques de l’interpolation lagrangienne.) Zbl 1178.11050 Rivoal, Tanguy 2 2009 On the bits counting function of real numbers. Zbl 1234.11099 Rivoal, Tanguy 12 2008 Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) Zbl 1161.33003 Cresson, J.; Fischler, S.; Rivoal, T. 6 2008 Symmetry phenomena in linear forms in multiple zeta values. (Phénomènes de symétrie dans des formes linéaires en polyzêtas.) Zbl 1227.11097 Cresson, J.; Fischler, S.; Rivoal, T. 4 2008 On a linear form for Catalan’s constant. Zbl 1217.11070 Krattenthaler, C.; Rivoal, T. 3 2008 Padé approximants of \(q\)-polylogarithm. (Approximants de Padé des \(q\)-polylogarithmes.) Zbl 1227.11085 Krattenthaler, Christian; Rivoal, Tanguy 1 2008 Hypergeometry and Riemann’s zeta function. (Hypergéométrie et function zêta de Riemann.) Zbl 1113.11039 Krattenthaler, C.; Rivoal, T. 22 2007 An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series. Zbl 1114.33007 Krattenthaler, C.; Rivoal, T. 12 2007 Remainder Padé approximants for the exponential function. Zbl 1102.41016 Prévost, Marc; Rivoal, Tanguy 8 2007 Convergents and irrationality measures of logarithms. Zbl 1227.11086 Rivoal, Tanguy 6 2007 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038 Krattenthaler, C.; Rivoal, T.; Zudilin, W. 17 2006 How can we escape Thomae’s relations? Zbl 1092.33006 Krattenthaler, Christian; Rivoal, Tanguy 15 2006 Euler numbers, Padé approximants and Catalan’s constant. (Nombres d’Euler, approximants de Padé et constante de Catalan.) Zbl 1152.11337 Rivoal, Tanguy 7 2006 A density exponent in rational approximation. (Un exposant de densité en approximation rationnelle.) Zbl 1147.11039 Fischler, Stéphane; Rivoal, Tanguy 5 2006 Golomb’s \(\Lambda\)-calculus and the Bateman-Horn conjecture. (Le \(\Lambda\)-calcul de Golomb et la conjecture de Bateman-Horn.) Zbl 1180.11032 Hindry, Marc; Rivoal, Tanguy 2 2005 Simultaneous generation of Koecher and Almkvist-Granville’s Apéry-like formulae. Zbl 1127.11057 Rivoal, T. 7 2004 Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046 Rivoal, T.; Zudilin, W. 23 2003 Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) Zbl 1064.11053 Fischler, S.; Rivoal, T. 14 2003 Linear independence of values of polylogarithms. (Indépendance linéaire des valeurs des polylogarithmes.) Zbl 1079.11038 Rivoal, Tanguy 9 2003 Hypergeometric series and irrationality of the values of the Riemann zeta function. (Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann.) Zbl 1041.11051 Rivoal, Tanguy 1 2003 Irrationality of at least one of the nine numbers \(\zeta(5),\zeta(7),\dots,\zeta(21)\). (Irrationalité d’au moins un des neuf nombres \(\zeta(5), \zeta(7),\dots,\zeta(21)\).) Zbl 1015.11033 Rivoal, Tanguy 20 2002 Irrationality of infinitely many values of the zeta function at odd integers. (Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs.) Zbl 1058.11051 Ball, Keith; Rivoal, Tanguy 91 2001 There are infinitely many irrational values of the Riemann zeta function at odd integers. (La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs.) Zbl 0973.11072 Rivoal, Tanguy 79 2000 all cited Publications top 5 cited Publications all top 5 Cited by 266 Authors 53 Rivoal, Tanguy 26 Fischler, Stéphane 19 Zudilin, Wadim 8 Hessami Pilehrood, Khodabakhsh 8 Hessami Pilehrood, Tatiana 8 Roques, Julien 7 Delaygue, Éric 7 Krattenthaler, Christian Friedrich 6 Bostan, Alin 6 Bugeaud, Yann 6 Nesterenko, Yuriĭ Valentinovich 6 Van Assche, Walter 5 Hirata-Kohno, Noriko 5 Kawashima, Makoto 5 Martin, Bruno 5 Prévost, Marc 5 Wang, Xiaoxia 5 Wei, Chuanan 4 Chamizo Lorente, Fernando 4 Gun, Sanoli 4 Maillard, Jean-Marie 4 Maji, Bibekananda 4 Marcovecchio, Raffaele 4 Murty, Maruti Ram 4 Sprang, Johannes 4 Straub, Armin 3 Abdelaziz, Y. 3 Adolphson, Alan 3 Coons, Michael 3 David, Sinnou 3 Dixit, Atul 3 Ferguson, Timothy 3 Guo, Yingjun 3 Igarashi, Masahiro 3 Mishev, Ilia D. 3 Petrykiewicz, Izabela 3 Seuret, Stéphane 3 Sperber, Steven I. 3 Väänänen, Keijo O. 3 Wu, Wen 2 Aptekarev, Alexander Ivanovich 2 Badziahin, Dzmitry A. 2 Balazard, Michel 2 Bell, Jason P. 2 Branquinho, Amílcar José Pinto Lopes 2 Bundschuh, Peter 2 Choi, Junesang 2 Cresson, Jacky 2 Dauguet, Simon 2 Dupont, Clément 2 El-Abidine Guennoun, Zine 2 Elaissaoui, Lahoucine 2 Fernandes, Gwladys 2 Foulquié Moreno, Ana Pilar 2 Franc, Cameron 2 Genčev, Marian 2 Gupta, Rajat 2 Huttner, Marc 2 Jouhet, Frédéric 2 Kaneko, Hajime 2 Karatsuba, Ekaterina Anatol’evna 2 Kauers, Manuel 2 Korevaar, Jacob 2 Koutschan, Christoph 2 Kristensen, Simon 2 Lagarias, Jeffrey C. 2 Lepetit, Gabriel 2 Mañas, Manuel 2 Matala-aho, Tapani 2 Mosaki, Elie 2 Ndayiragije, François 2 Panzer, Erik 2 Saha, Ekata 2 Salvy, Bruno 2 Schlotterer, Oliver 2 Singer, Johannes Maria 2 Stoll, Thomas 2 Ubis, Adrián 2 Viu-Sos, Juan 2 Wang, Jun 2 Wen, Zhixiong 2 Yurkevich, Sergey V. 2 Zlobin, S. A. 1 Abarenkova, Nina 1 Adam, David 1 Adamczewski, Boris 1 Adell, José Antonio 1 Akhilesh, P. 1 Aliev, Ilham A. 1 Allouche, Jean-Paul Simon 1 Andersen, Simon Bruno 1 Andrews, George Eyre 1 Area, Iván 1 Banks, Peter 1 Baratchart, Laurent 1 Bartlett, Nick 1 Becher, Verónica 1 Bel, Pierre 1 Berndt, Bruce Carl 1 Bettin, Sandro ...and 166 more Authors all top 5 Cited in 119 Serials 25 Journal of Number Theory 16 The Ramanujan Journal 13 Journal de Théorie des Nombres de Bordeaux 12 International Journal of Number Theory 10 Journal of Mathematical Analysis and Applications 10 Proceedings of the American Mathematical Society 8 Integral Transforms and Special Functions 6 Mathematical Notes 6 Monatshefte für Mathematik 6 Journal of the Australian Mathematical Society 5 Advances in Mathematics 5 Compositio Mathematica 5 Journal of Approximation Theory 5 Journal of Computational and Applied Mathematics 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 4 Acta Arithmetica 4 Annales de l’Institut Fourier 4 Functiones et Approximatio. Commentarii Mathematici 4 Inventiones Mathematicae 4 Manuscripta Mathematica 4 Indagationes Mathematicae. New Series 3 Experimental Mathematics 3 Journal of Mathematical Sciences (New York) 3 Integers 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Research in Number Theory 2 Journal d’Analyse Mathématique 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nuclear Physics. B 2 Problems of Information Transmission 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Journal of Algebra 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Mathematica Slovaca 2 Michigan Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Seminario Matematico della Università di Padova 2 Constructive Approximation 2 Aequationes Mathematicae 2 Bulletin of the American Mathematical Society. New Series 2 Kyushu Journal of Mathematics 2 Journal of Difference Equations and Applications 2 Journal of Inequalities and Applications 2 Journal of Integer Sequences 2 Journal of the European Mathematical Society (JEMS) 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Inequalities 2 Moscow Journal of Combinatorics and Number Theory 2 Journal de l’École Polytechnique – Mathématiques 1 International Journal of Modern Physics A 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Journal of Symbolic Computation 1 Sugaku Expositions 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 The Electronic Journal of Combinatorics 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 Séminaire Lotharingien de Combinatoire 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Discrete and Continuous Dynamical Systems. Series B ...and 19 more Serials all top 5 Cited in 39 Fields 260 Number theory (11-XX) 122 Special functions (33-XX) 33 Approximations and expansions (41-XX) 25 Combinatorics (05-XX) 22 Ordinary differential equations (34-XX) 20 Algebraic geometry (14-XX) 19 Functions of a complex variable (30-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 12 Sequences, series, summability (40-XX) 11 Real functions (26-XX) 11 Computer science (68-XX) 10 Quantum theory (81-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Measure and integration (28-XX) 4 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year