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  On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products

Matthes, N., & Tasaka, K. (2019). On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products. Kyushu Journal of Mathematics, 73(2), 337-359. doi:10.2206/kyushujm.73.337.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-BBD6-6 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-BBD7-5
Genre: Journal Article

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 Creators:
Matthes, Nils1, Author           
Tasaka, Koji1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 Abstract: Two explicit sets of solutions to the double shuffle equations modulo
products were introduced by Ecalle and Brown respectively. We place the two
solutions into the same algebraic framework and compare them. We find that they
agree up to and including depth four but differ in depth five by an explicit
solution to the linearized double shuffle equations with an exotic pole
structure.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1805.09500
URI: http://arxiv.org/abs/1805.09500
DOI: 10.2206/kyushujm.73.337
 Degree: -

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Title: Kyushu Journal of Mathematics
  Abbreviation : Kyushu J. Math.
Source Genre: Journal
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Publ. Info: Kyushu University, Faculty of Mathematics
Pages: - Volume / Issue: 73 (2) Sequence Number: - Start / End Page: 337 - 359 Identifier: ISSN: 1340-6116