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For one argument, MultiZeta reduces to the Riemann Zeta function:
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The more relevant special cases are computed automatically, such as that of two identical arguments, here using a more compact input syntax
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| (2) |
and of two arguments summing to an odd number
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| (3) |
All Multiple Zeta values of weight less than or equal to seven, can be written solely in terms of classical Zeta values:
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| (4) |
The multiple Zeta values are a special case of the multiple polylogarithm:
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| (5) |
The multiple zeta values obey a large number of identities, primarily the stuffle relation:
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| (6) |
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| (7) |
Up to 5 digits,
and the duality
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| (9) |
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| (10) |
| (11) |