Explicit Double Shuffle Relations and a Generalization of Euler’s Decomposition Formula
نویسندگان
چکیده
We give an explicit formula for the shuffle relation in a general double shuffle framework that specializes to double shuffle relations of multiple zeta values and multiple polylogarithms. As an application, we generalize the well-known decomposition formula of Euler that expresses the product of two Riemann zeta values as a sum of double zeta values to a formula that expresses the product of two multiple polylogarithm values as a sum of other multiple polylogarithm values. MSC classes: 11M41, 11M99, 40B05.
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