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Multiple hypergeometric series and polyzetas. (Séries hypergéométriques multiples et polyzêtas.) (French) Zbl 1161.33003
The authors of this important paper offer a theoretical and effective algorithm for decomposition as linear combinations of multiple zeta values of certain general hypergeometric series and integrals. Such results have a major importance e.g. in the difficult theory of linear independence study of the classical zeta function value. The results are too involved to be stated here.

11M32 Multiple Dirichlet series and zeta functions and multizeta values
33C70 Other hypergeometric functions and integrals in several variables
11J72 Irrationality; linear independence over a field
33B30 Higher logarithm functions
33C20 Generalized hypergeometric series, \({}_pF_q\)
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