Double shuffle relations and renormalization of multiple zeta values
Guo, Li · Paycha, Sylvie · Xie, Bingyong · Zhang, Bin
Number Theory
Mathematical Physics
Classical Analysis and ODEs
Rings and Algebras
11M41, 16W30, 35S05, 81T15
Original · EN
In this paper we present some of the recent progresses in multiple zeta values (MZVs). We review the double shuffle relations for convergent MZVs and summarize generalizations of the sum formula and the decomposition formula of Euler for MZVs. We then discuss how to apply methods borrowed from renormalization in quantum field theory and from pseudodifferential calculus to partially extend the double shuffle relations to divergent MZVs.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.