Depth reductions for associators

David Jarossay

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We prove that for any associator, two specific families of coefficients of the associator can be expressed in terms of coefficients of lower depth. Combining these results to our notions of adjoint p-adic multiple zeta values and multiple harmonic values, we obtain a new point of view on the question of relating p-adic and finite multiple zeta values, and a few other application to the study of p-adic multiple zeta values via explicit formulas.

Original languageEnglish
Pages (from-to)163-192
Number of pages30
JournalJournal of Number Theory
Volume217
DOIs
StatePublished - 1 Dec 2020

Keywords

  • Adjoint p-adic multiple zeta values
  • Associators
  • Depth-graded multiple zeta values
  • Finite multiple zeta values
  • Motivic multiple harmonic values
  • p-adic multiple zeta values

ASJC Scopus subject areas

  • Algebra and Number Theory

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