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Restricted sum formula for finite and symmetric multiple zeta values. (English) Zbl 07179011
Summary: The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified component is required to be more than one, then the values sum up to a rational multiple of the analogue of the Riemann zeta value. We prove that the result remains true if we further demand that the component should be more than two or that another component should also be more than one.
MSC:
11M32 Multiple Dirichlet series and zeta functions and multizeta values
05A19 Combinatorial identities, bijective combinatorics
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References:
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