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Multiple Eisenstein series are holomorphic functions in the complexupper-half plane, which can be seen as a crossbreed between multiple zetavalues and classical Eisenstein series. They were originally defined byGangl-Kaneko-Zagier in 2006, and since then, many variants and regularizationsof them have been studied. They give a natural bridge between the world ofmodular forms and multiple zeta values. In this note, we give a new algebraicinterpretation of stuffle regularized multiple Eisenstein series based on theHopf algebra structure of the harmonic algebra introduced by Hoffman.

Stuffle regularized multiple Eisenstein series revisited