双shuffle方程模积的ecalle和brown极坐标解

Pub Date : 2018-05-24 DOI:10.2206/kyushujm.73.337

Nils Matthes, K. Tasaka

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引用次数: 0

摘要

Ecalle和Brown分别介绍了模积双混洗方程的两组显式解。我们把这两个解放在同一个代数框架中，并对它们进行比较。我们发现，通过具有奇异极点结构的线性化双洗牌方程的显式解，它们在深度4（包括深度4）上一致，但在深度5上不同。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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