Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON ECALLE'S AND BROWN'S POLAR SOLUTIONS TO THE DOUBLE SHUFFLE EQUATIONS MODULO PRODUCTS
Nils MATTHESKoji TASAKA
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2019 年 73 巻 2 号 p. 337-356

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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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© 2019 Faculty of Mathematics, Kyushu University
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