On Shuffle of Double Eisenstein series in positive characteristic

Huei-Jeng Chen Taida Institute for Mathematical Sciences

Number Theory mathscidoc:1610.24004

The study of the present paper is inspired by Gangl, Kaneko and Zagier's result of the connection with double zeta values and modular forms. We introduce double Eisenstein series $E_{r,s}$ in positive characteristic with double zeta values $\zeta_A(r,s)$ as their constant term and compute the t-expansions of the double Eisenstein series. Moreover, we derive the shuffle relations of double Eisenstein series which match the shuffle relations of double zeta values in \cite{Huei2015}.
Eisenstein series, shuffle relation
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@inproceedings{huei-jengon,
  title={On Shuffle of Double Eisenstein series in positive characteristic},
  author={Huei-Jeng Chen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161011153902984700142},
}
Huei-Jeng Chen. On Shuffle of Double Eisenstein series in positive characteristic. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161011153902984700142.
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