TL;DR
This paper proves a sum formula for certain multiple L-values, extending the known sum formula for multiple zeta-values, using partial fraction decomposition.
Contribution
It generalizes the sum formula of multiple zeta-values to multiple L-values, confirming a conjecture by Essouabri-Matsumoto-Tsumura.
Findings
Established a sum formula for multiple L-values
Extended the sum formula from multiple zeta-values to multiple L-values
Used partial fraction decomposition as the main proof technique
Abstract
We show a sum formula of certain multiple L-values conjectured by Essouabri-Matsumoto-Tsumura, which generalizes the sum formula of multiple zeta-values. The proof relies on the method of partial fraction decomposition.
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