On properties of adari(pal) and ganit(pic)
Nao Komiyama
TL;DR
This paper explores properties of Ecalle's maps adari(pal) and ganit(pic), providing self-contained proofs of their fundamental characteristics related to multiple zeta values and double shuffle relations.
Contribution
It offers a comprehensive, self-contained proof of key properties of adari(pal) and ganit(pic), clarifying their roles in the theory of multiple zeta values.
Findings
Confirmed fundamental properties of adari(pal) and ganit(pic)
Clarified their roles in double shuffle relations
Provided accessible proofs for key properties
Abstract
The paper discusses properties of adari(pal) and ganit(pic) which are Ecalle's maps among certain sets of moulds related to the double shuffle relations of MZVs. We give self-contained proof of their basic properties which are exhibited in Ecalle's papers and partially proved in Schneps' paper.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · semigroups and automata theory