Shuffle–stuffle relations conjecture for multiple zeta values

Let MZVs be the convergent multiple zeta values, with relations generated by products of their iterated-integral and nested-sum descriptions. The resulting identities are called shuffle, stuffle, and regularised shuffle relations. Shuffle–stuffle conjecture. The only relations among MZVs are shuffle, stuffle and regularised shuffle relations. This is the more concise formulation given immediately after the informal double-shuffle formulation; it remains open in the source.

Sources & referencesView supporting material

Primary source

Claude Duhr, “Mathematical aspects of scattering amplitudes”, arXiv:1411.7538 (2014).

Additional references

2 papers in this index state this conjecture (2007–2014). The statement above is taken from the most recent of them; the others are arXiv:0712.1656.

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