The double shuffle relations for multiple Eisenstein series

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.

37 pages

References in corpus (2)

• Double Shuffle Relations of Double Zeta Values and Double Eisenstein Series of Level N
• The algebra of generating functions for multiple divisor sums and applications to multiple zeta values

Cited by in corpus (4)

• Double Shuffle Relations of Double Zeta Values and Double Eisenstein Series of Level N
• The algebra of bi-brackets and regularised multiple Eisenstein series
• On linear relations among totally odd multiple zeta values related to period polynomials
• On triple zeta values of even weight and their connections with period polynomials