# The group structure for ζ(3)

@article{Rhin2001TheGS,
title={The group structure for $\zeta$(3)},
author={Georges Rhin and Carlo Viola},
journal={Acta Arithmetica},
year={2001},
volume={97},
pages={269-293}
}
• Published 2001
• Mathematics
• Acta Arithmetica
1. Introduction. In his proof of the irrationality of ζ(3), Apéry [1] gave sequences of rational approximations to ζ(2) = π 2 /6 and to ζ(3) yielding the irrationality measures µ(ζ(2)) < 11.85078. .. and µ(ζ(3)) < 13.41782. .. Several improvements on such irrationality measures were subsequently given, and we refer to the introductions of the papers [3] and [4] for an account of these results. As usual, we denote here by µ(α) the least irrationality measure of an irrational number α, i.e., the… Expand
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At the “Journees Arithmetiques” held at Marseille-Luminy in June 1978, R. Apery confronted his audience with a miraculous proof for the irrationality of ζ(3) = l-3+ 2-3+ 3-3 + .... The proof wasExpand
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