WEIGHTED SUM FORMULA OF MULTIPLE L-VALUES AND ITS APPLICATIONS

Rocky Mountain Journal of Mathematics 2026 Open access

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Authors: Zhonghua Li, Zhenlu Wang
DOI: 10.1216/rmj.2026.56.457
Cited by: 0
References: 6

Abstract

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.

Fields of Study & Subjects

Advanced Mathematical Identities Advanced Combinatorial Mathematics Analytic Number Theory Research

Publication details

Journal / source
Rocky Mountain Journal of Mathematics
Publisher
Rocky Mountain Mathematics Consortium
Volume
56
Issue
2
Pages
457–474
Publication date
1 April 2026
Language
EN