Journal names

Number of documents

55

Tanguy Rivoal


Journal articles39 documents

  • Stéphane Fischler, Tanguy Rivoal. Microsolutions of differential operators and values of arithmetic Gevrey series. American Journal of Mathematics, Johns Hopkins University Press, 2018, 140 (2), pp.317-348. ⟨hal-01160765⟩
  • Boris Adamczewski, Tanguy Rivoal. Exceptional values of E-functions at algebraic points. Bulletin of the London Mathematical Society, London Mathematical Society, 2018, 50 (4), pp.697-708. ⟨10.1112/blms.12168⟩. ⟨hal-02091785⟩
  • Boris Adamczewski, Tanguy Rivoal. Exceptional values of E-functions at algebraic points. Bulletin of the London Mathematical Society, London Mathematical Society, 2018, 50 (4), pp.697-708. ⟨10.1112/blms.12168⟩. ⟨hal-01570933⟩
  • Tanguy Rivoal, Julien Roques. Holomorphic solutions of E-operators. Israël Journal of Mathematics, The Hebrew University Magnes Press, 2017, 220 (1), pp.275 - 282. ⟨10.1007/s11856-017-1517-8⟩. ⟨hal-01618171⟩
  • Stéphane Fischler, Tanguy Rivoal. On the denominators of the Taylor coefficients of G-functions. Kyushu Journal of Mathematics, Kyushu University, 2017, 71, 2, pp.287-298. ⟨hal-01325350⟩
  • Stephane Fischler, Tanguy Rivoal. Arithmetic theory of E-operators. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2016, pp.31-65. ⟨hal-01010964⟩
  • Stephane Fischler, Tanguy Rivoal. Multiple zeta values, Padé approximation and Vasilyev's conjecture. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Scuola Normale Superiore 2016, 15, pp.1-24. ⟨hal-00860302⟩
  • Tanguy Rivoal, Julien Roques. On the algebraic dependence of E -functions. Bulletin of the London Mathematical Society, London Mathematical Society, 2016, 48 (2), pp.271-279. ⟨hal-01983074⟩
  • Tanguy Rivoal. Simultaneous Padé approximants to the Euler, exponential and logarithmic functions. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2015, 27 (2), pp.565 - 589. ⟨10.5802/jtnb.914⟩. ⟨hal-01679853⟩
  • Tanguy Rivoal. Remarks on the impossibility of a Siegel-Shidlovskii like theorem for G-functions. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2015, 38, pp.29-35. ⟨hal-01253639⟩
  • Tanguy Rivoal, Stéphane Seuret. Hardy-Littlewood series and even continued fractions. Journal d'analyse mathématique, Springer, 2015, 125, pp.175-225. ⟨10.1007/s11854-015-006-4⟩. ⟨hal-00756399⟩
  • Tanguy Rivoal, Julien Roques. Hadamard products of algebraic functions. Journal of Number Theory, Elsevier, 2014, 145, pp.579-603. ⟨hal-01983127⟩
  • Stéphane Fischler, Tanguy Rivoal. On the values of $G$-functions. Commentarii Mathematici Helvetici, European Mathematical Society, 2014, 89 (2), pp.313-341. ⟨10.4171/CMH/321⟩. ⟨hal-02118269⟩
  • Tanguy Rivoal. Linear forms in zeta values arising from certain Sorokin-type integrals. Journal of Mathematical Sciences, Springer Verlag (Germany), 2012, 180 (5), pp.641 - 649. ⟨10.1007/s10958-012-0662-1⟩. ⟨hal-01618178⟩
  • Tanguy Rivoal. On the arithmetic nature of the values of the gamma function, Euler's constant, and Gompertz's constant. The Michigan Mathematical Journal, Michigan Mathematical Journal, 2012, 61 (2), pp.239-254. ⟨10.1307/mmj/1339011525⟩. ⟨hal-02118284⟩
  • Tanguy Rivoal. On the distribution of multiples of real numbers. Monatshefte für Mathematik, Springer Verlag, 2011, 164 (3), pp.325 - 360. ⟨10.1007/s00605-011-0316-2⟩. ⟨hal-01618365⟩
  • Tanguy Rivoal. Extremality Properties of Some Diophantine Series. Experimental Mathematics, Taylor & Francis, 2010, 19 (4), pp.481 - 494. ⟨10.1080/10586458.2010.10390638⟩. ⟨hal-01618368⟩
  • Tanguy Rivoal. Approximations rationnelles des valeurs de la fonction Gamma aux rationnels : le cas des puissances. Acta Arithmetica, Instytut Matematyczny PAN, 2010, 142 (4), pp.347 - 365. ⟨10.4064/aa142-4-4⟩. ⟨hal-01618552⟩
  • Christian Krattenthaler, Tanguy Rivoal. On the integrality of the Taylor coefficients of mirror maps. Duke Mathematical Journal, Duke University Press, 2010, 151 (2), pp.175-218. ⟨10.1215/00127094-2009-063⟩. ⟨hal-02118315⟩
  • Tanguy Rivoal. Approximations rationnelles des valeurs de la fonction Gamma aux rationnels. Journal of Number Theory, Elsevier, 2010, 130 (4), pp.944 - 955. ⟨10.1016/j.jnt.2009.08.003⟩. ⟨hal-01618554⟩
  • Stéphane Fischler, Tanguy Rivoal. Irrationality exponent and rational approximations with prescribed growth. Proceedings of the American Mathematical Society, American Mathematical Society, 2010, 138 (03), pp.799 - 808. ⟨10.1090/S0002-9939-09-10084-9⟩. ⟨hal-01618556⟩
  • Boris Adamczewski, Tanguy Rivoal. Irrationality measures for some automatic real numbers. Math. Proc. Cambridge Phil. Soc., 2009, 147, pp.659--678. ⟨hal-00951118⟩
  • Tanguy Rivoal, Michael Welter. Sur les fonctions arithmétiques non entières. Israël Journal of Mathematics, The Hebrew University Magnes Press, 2009, 169 (1), pp.155 - 179. ⟨10.1007/s11856-009-0008-y⟩. ⟨hal-01618641⟩
  • Tanguy Rivoal. APPLICATIONS ARITHMÉTIQUES DE L'INTERPOLATION LAGRANGIENNE. International Journal of Number Theory, World Scientific Publishing, 2009, 05 (02), pp.185 - 208. ⟨10.1142/S1793042109001992⟩. ⟨hal-01618635⟩
  • Tanguy Rivoal. Rational approximations for values of derivatives of the Gamma function. Transactions of the American Mathematical Society, American Mathematical Society, 2009, 361 (11), pp.6115 - 6149. ⟨10.1090/S0002-9947-09-04905-8⟩. ⟨hal-01618631⟩
  • Boris Adamczewski, Tanguy Rivoal. Irrationality measures for some automatic real numbers. Mathematical Proceedings, Cambridge University Press (CUP), 2009, 147 (3), pp.659-678. ⟨10.1017/S0305004109002643⟩. ⟨hal-02118290⟩
  • Tanguy Rivoal. Simultaneous Polynomial Approximations of the Lerch Function. Canadian Journal of Mathematics, University of Toronto Press, 2009, 61 (6), pp.1341 - 1356. ⟨10.4153/CJM-2009-063-6⟩. ⟨hal-01618622⟩
  • Christian Krattenthaler, Tanguy Rivoal. On the integrality of the Taylor coefficients of mirror maps, II. Communications in Number Theory and Physics, International Press, 2009, 3 (3), pp.555 - 591. ⟨10.4310/CNTP.2009.v3.n3.a5⟩. ⟨hal-01618627⟩
  • Tanguy Rivoal. On the distribution of Hawkins’ random “primes”. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2008, 20 (3), pp.799 - 809. ⟨10.5802/jtnb.651⟩. ⟨hal-01618643⟩
  • Tanguy Rivoal. ON THE BITS COUNTING FUNCTION OF REAL NUMBERS. Journal of the Australian Mathematical Society, 2008, 85 (01), ⟨10.1017/S1446788708000591⟩. ⟨hal-01618645⟩
  • Tanguy Rivoal. Convergents and irrationality measures of logarithms. Revista Matemática Iberoamericana, European Mathematical Society, 2007, 23 (3), pp.931 - 952. ⟨10.4171/RMI/519⟩. ⟨hal-01618662⟩
  • Marc Prévost, Tanguy Rivoal. Remainder Pade Approximants for the Exponential Function. Constructive Approximation, Springer Verlag, 2007, 25 (1), pp.109 - 123. ⟨10.1007/s00365-006-0635-6⟩. ⟨hal-01618666⟩
  • Tanguy Rivoal. Nombres D’Euler, approximants de Padé et constante de Catalan. Ramanujan Journal, Springer Verlag, 2006, 11 (2), pp.199 - 214. ⟨10.1007/s11139-006-6507-0⟩. ⟨hal-01618672⟩
  • Christian Krattenthaler, Tanguy Rivoal. How can we escape Thomae's relations?. Journal of the Mathematical Society of Japan, Maruzen Company Ltd, 2006, 58 (1), pp.183-210. ⟨hal-01618677⟩
  • Stéphane Fischler, Tanguy Rivoal. Un exposant de densite en approximation rationnelle. International Mathematics Research Notices, Oxford University Press (OUP), 2006, 2006 (24), 48p. ⟨10.1155/IMRN/2006/95418⟩. ⟨hal-01618668⟩
  • Tanguy Rivoal. Selberg's integral and linear forms in zeta values. Journal of Computational and Applied Mathematics, Elsevier, 2003, 160 (1-2), pp.265-270. ⟨10.1016/S0377-0427(03)00630-7⟩. ⟨hal-02118310⟩
  • Tanguy Rivoal. Irrationalite d'au moins un des neuf nombres zeta(5),zeta(7),...,zeta(21). Acta Arithmetica, Instytut Matematyczny PAN, 2002, 103, pp.157-167. ⟨hal-00125109⟩
  • Keith Ball, Tanguy Rivoal. Irrationalité d’une infinité de valeurs de la fonction zêta aux entiers impairs. Inventiones Mathematicae, Springer Verlag, 2001, 146 (1), pp.193-207. ⟨10.1007/s002220100168⟩. ⟨hal-02118313⟩
  • Tanguy Rivoal. La fonction Zeta de Riemann prend une infinite de valeurs irrationnelles aux entiers impairs. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2000, 331, pp.267-270. ⟨hal-00125108⟩

Books1 document

  • Eric Delaygue, Tanguy Rivoal, Julien Roques. On Dwork's p-adic formal congruences theorem and hypergeometric mirror maps. 246 (1163), 2017, Memoirs of the American Mathematical Society, 978-1-4704-2300-1. ⟨10.1090/memo/1163⟩. ⟨hal-00864745v2⟩

Book sections2 documents

  • Tanguy Rivoal. Hypergeometric constructions of rational approximations for (multiple) zeta values.. Bhowmik, Gautami; Matsumoto, Kohji; Tsumura, Hirofumi. Algebraic and analytic aspects of zeta functions and L-functions : lectures at the French-Japanese Winter School (Miura, 2008), 21, Mathematical Society of Japan, 2010, MSJ Memoirs, 978-4-931469-56-3. ⟨hal-01618548⟩
  • Christian Krattenthaler, Tanguy Rivoal. Approximants de Padé des q-Polylogarithmes. Diophantine Approximation: Festschrift for Wolfgang Schmidt , 16, Springer, 2008, Developments in mathematics, 978-3-211-74280-8. ⟨hal-01618658⟩

Directions of work or proceedings1 document

  • Lucia Di Vizio, Tanguy Rivoal. Arithmetic and Galois theories of differential equations. . Galoisian and arithmetic theory of differential equations. Summer school (2009 ; Luminy)., Sep 2009, Luminy, France. 23, Société Mathématiques de France, 405 p., 2011, Séminaire et congrès, 978-2-85629-331-7. ⟨hal-01618208⟩

Preprints, Working Papers, ...11 documents

  • Marc Prévost, Tanguy Rivoal. Remainder Padé approximants for hypergeometric series. 2019. ⟨hal-02017857⟩
  • Tanguy Rivoal. Padé type approximants of Hurwitz zeta functions $\zeta(4,x)$. 2018. ⟨hal-01584731v2⟩
  • S Fischler, Tanguy Rivoal. Values of globally bounded G-functions. 2018. ⟨hal-01493550v3⟩
  • Tanguy Rivoal, Wadim Zudilin. A note on odd zeta values. 2018. ⟨hal-01726106⟩
  • Stéphane Fischler, Tanguy Rivoal. Linear independence of values of G-functions. 2017. ⟨hal-01450032⟩
  • Stéphane Fischler, Tanguy Rivoal. Rational approximation to values of G-functions, and their expansions in integer bases. 2017. ⟨hal-01245428v2⟩
  • Tanguy Rivoal. Is Euler's constant a value of an arithmetic special function?. 2017. ⟨hal-01619235v2⟩
  • Stéphane Fischler, Tanguy Rivoal. On the values of G-functions. 2011. ⟨hal-00581002v2⟩
  • Tanguy Rivoal. On the distribution of multiples of real numbers. 2010. ⟨hal-00526980⟩
  • Jacky Cresson, Stéphane Fischler, Tanguy Rivoal. Phénomènes de symétrie dans des formes linéaires en polyzêtas. 2007. ⟨hal-00101377v2⟩
  • Jacky Cresson, Stéphane Fischler, Tanguy Rivoal. Séries hypergéométriques multiples et polyzêtas. 2006. ⟨hal-00101376⟩

Theses1 document

  • Tanguy Rivoal. Propriétés diophantiennes de la fonction zêta de Riemann aux entiers impairs. Mathématiques [math]. Université de Caen, 2001. Français. ⟨tel-00004519⟩