Every multiple zeta value is an integer linear combination of multiple zeta values whose index entries are all at least 2, via an explicit elementary algorithm.
Brindle,A unified approach toqMZVs, INTEGERS24(2024), Paper No
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The $\mathbb{Z}$-module of multiple zeta values is generated by ones for indices without ones
Every multiple zeta value is an integer linear combination of multiple zeta values whose index entries are all at least 2, via an explicit elementary algorithm.