A Sum Formula Of Multiple L-Values

INTERNATIONAL JOURNAL OF NUMBER THEORY（2015）

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摘要

We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.

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关键词

Multiple zeta values,multiple L-values,multiple polylogarithms

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