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      The double shuffle relations for multiple Eisenstein series

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          Abstract

          We study the multiple Eisenstein series introduced by Gangl, Kaneko and Zagier. We give a proof of (restricted) finite double shuffle relations for multiple Eisenstein series by developing an explicit connection between the Fourier expansion of multiple Eisenstein series and the Goncharov coproduct on Hopf algebras of iterated integrals.

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          Journal
          2015-01-14
          2016-02-15
          Article
          1501.03408
          b4245cf3-8872-4fdb-b014-9c51739c7832

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          11M32, 11F11, 13J05, 33E20
          37 pages
          math.NT

          Number theory
          Number theory

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