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math.NT2026
The -algebra structure of multiple Eisenstein series
Henrik Bachmann, Hayato Kanno
We prove that the algebra of multiple Eisenstein series is an -algebra. In particular, we show that it is graded by weight, which also holds after taking complex l…
math.NT2026
Relations and Derivatives of Multiple Eisenstein Series
Henrik Bachmann, Hayato Kanno, Takumi Maesaka
In this paper, we study multiple Eisenstein series, which build a natural bridge between the theory of multiple zeta values and modular forms. We prove a large family of relations…
math.NT2023
Formal multiple Eisenstein series and their derivations
Henrik Bachmann, Jan-Willem van Ittersum, Nils Matthes
We introduce the algebra of formal multiple Eisenstein series and study its derivations. This algebra is motivated by the classical multiple Eisenstein series, introduced by Gangl-…