Séries hypergéométriques multiples et polyzêtas

Jacky Cresson (1) , Stéphane Fischler (2) , Tanguy Rivoal (3)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay
3 IF - Institut Fourier

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 multiple zeta values, with rational coefficients.

Domains: Number Theory [math.NT]

Jacky Cresson, Stéphane Fischler, Tanguy Rivoal. Séries hypergéométriques multiples et polyzêtas. 2006. ⟨hal-00101376⟩