116 citations · 143 across the 7 of their papers we have counts for
9 papers
Transcendence measure for the values of the logarithmic derivative of the Bessel function at algebraic arguments
Stéphane Fischler, Tanguy Rivoal
Let be of degree and usual height , and let be of degree . As a consequence of general resu…
Effective algebraic independence of values of E-functions
S Fischler, T. Rivoal
E-functions are entire functions with algebraic Taylor coefficients satisfying certain arithmetic conditions, and which are also solutions of linear differential equations with pol…
Démonstration de l'Observation 2 d'Almkvist et Zudilin
Christian Krattenthaler, Tanguy Rivoal
We prove Obnservation 2 in arXiv:math/0402386 by Gert Almkvist and Wadim Zudilin.
Séries hypergéométriques multiples et polyzêtas
Jacky Cresson, Stephane Fischler, Tanguy Rivoal
We describe a theoretical and effective algorithm which enables us to prove that rather general hypergeometric series and integrals can be decomposed as linear combinations of mult…
Phénomènes de symétrie dans des formes linéaires en polyzêtas
Jacky Cresson, Stephane Fischler, Tanguy Rivoal
We give two generalizations, in arbitrary depth, of the symmetry phenomenon used by Ball-Rivoal to prove that infinitely many values of Riemann function at odd integers are irr…
Séries hypergéométriques basiques, -analogues des valeurs de la fonction zêta et séries d'Eisenstein
C. Krattenthaler, T. Rivoal, W. Zudilin
Nous étudions la nature arithmétique de -analogues des valeurs de la fonction zêta de Riemann, notamment des valeurs des fonctions $ζ_q(s)= \sum_{k=1} ^{\infty}q^k \sum_{…