THE DOUBLE SHUFFLE RELATIONS FOR MULTIPLE EISENSTEIN SERIES
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 revealing an explicit connection between the Fourier expansion of multiple Eisenstein series and the Goncharov co-product on Hopf algebras of iterated integrals.
Keyword(s):
Keyword(s):
1982 ◽
Vol 273
(2)
◽
pp. 679
◽
2017 ◽
Vol 2017
(722)
◽
Keyword(s):
1985 ◽
Vol 28
(3)
◽
pp. 280-294
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Keyword(s):
1982 ◽
Vol 273
(2)
◽
pp. 679-679