A parameterized generalization of the sum formula for quadruple zeta values

Abstract

We give a parameterized generalization of the sum formula for quadruple zeta values. The generalization has four parameters, and is invariant under a cyclic group of order four. By substituting special values for the parameters, we also obtain weighted sum formulas for quadruple zeta values, which contain some known results.

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References in corpus (3)

• On Multiple Zeta Values of Even Arguments
• Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems
• Extended double shuffle relations and the generating function of triple zeta values of any fixed weight

Cited by in corpus (1)

• Use of the generating function to generalize the sum formula for quadruple zeta values