2006/09/27 by Jacky Cresson, Cresson, Jacky, Stephane Fischler +3
Mathematics · #33C70-11M41-11J72 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:33C70-11M41-11J72
paper · pdf · doi:10.48550/arxiv.math/0609744
45 pages
arxiv created 2007/02/12 · arxiv updated 2009/12/01
We give two generalizations, in arbitrary depth, of the symmetry phenomenon used by Ball-Rivoal to prove that infinitely many values of Riemann ζ function at odd integers are irrational. These generalizations concern multiple series of hypergeometric type, which can be written as linear forms in some specific multiple zeta values. The proof makes use of the regularization procedure for multiple zeta values with logarithmic divergence.