23 citations · 37 across the 3 of their papers we have counts for
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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…
Irrationalité de valeurs de zêta (d'après Apéry, Rivoal, ...)
Stéphane Fischler
This survey text deals with irrationality, and linear independence over the rationals, of values at positive odd integers of Riemann zeta function. The first section gives all know…
Formes linéaires en polyzêtas et intégrales multiples
Stéphane Fischler
The problem we consider is to define families of n-dimensional integrals, endowed with group actions as in Rhin-Viola's work on irrationality measures of and , the val…