ON ECALLE'S AND BROWN'S POLAR SOLUTIONS TO THE DOUBLE SHUFFLE EQUATIONS MODULO PRODUCTS

• MATTHES Nils

  Department of Mathematics Kyushu University

• TASAKA Koji

  Department of Information Science and Technology Aichi Prefectural University

抄録

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.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 73 (2), 337-356, 2019

  九州大学大学院数理学研究院

キーワード

• multiple zeta values
• double shuffle Lie algebra

詳細情報

• CRID: 1390566775150439936
• NII論文ID: 130007871386
• NII書誌ID: AA10994346
• DOI: 10.2206/kyushujm.73.337
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/73/2/73_337/_pdf
• 本文言語コード: en
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