On properties of adari(pal) and ganit(pic)

2021/10/10 by Nao Komiyama, Komiyama, Nao · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2110.04834

openalex publication_date 2021/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Multiple polylogarithms and mixed Tate motives

Cited by

• Ecalle's senary relation and dimorphic structures

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