English

The double shuffle relations for multiple Eisenstein series

Number Theory 2016-02-17 v3

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.

Cite

@article{arxiv.1501.03408,
  title  = {The double shuffle relations for multiple Eisenstein series},
  author = {Henrik Bachmann and Koji Tasaka},
  journal= {arXiv preprint arXiv:1501.03408},
  year   = {2016}
}

Comments

37 pages

R2 v1 2026-06-22T08:01:26.610Z