Weighted sum formula of multiple L-values and its applications

2021/02/14 by Zhonghua Li, Li, Zhonghua, Zhenlu Wang +1
Mathematics · #11M06 #11M32 #11M99 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11M06 #msc:11M32 #msc:11M99

paper · pdf · doi:10.48550/arxiv.2102.07184

18 pages

arxiv created 2021/03/05 · arxiv updated 2021/03/08

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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