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A parameterized generalization of the sum formula for quadruple zeta values

Published 30 Oct 2012 in math.NT | (1210.8005v1)

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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