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arXiv · 2102.07184

Weighted sum formula of multiple $L$-values and its applications

Zhonghua Li·Zhenlu Wang
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Abstract

In this paper, we study the multiple $L$-values and the multiple zeta values of level $N$. We set up the algebraic framework for the double shuffle relations of the multiple zeta values of level $N$. Using the regularized double shuffle relations of multiple $L$-values, we give a sum formula and a weighted sum formula of multiple $L$-values. As applications, we give sum formulas and weighted sum formulas of double zeta values of level $2$ and $3$.

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Zhonghua Li, Zhenlu Wang. 2021-02-14. Weighted sum formula of multiple $L$-values and its applications. https://arxiv.org/abs/2102.07184

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