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

DOI10.2206/kyushujm.73.337OpenAlexW3038523160MaRDI QIDQ3298433

Koji Tasaka, Nils Matthes

Publication date: 14 July 2020

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.09500

zbMATH Keywords

multiple zeta valuesmotivic Lie algebra

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• The Kashiwara-Vergne conjecture and Drinfeld's associators
• Mixed Tate motives over \(\mathbb{Z}\)
• ARI/GARI, dimorphy and multiple zeta arithmetic: a first evaluation
• Double shuffle relation for associators
• Mixed Tate motives and multiple zeta values
• Double shuffles of multiple polylogarithms at roots of unity
• ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE
• Groupes fondamentaux motiviques de Tate mixte
• Mould Theory and the Double Shuffle Lie Algebra Structure
• On the Lie enveloping algebra of a pre-Lie algebra
• Derivation and double shuffle relations for multiple zeta values

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