PAPER / ARXIV:2609.18777

On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result

Chieh-Yu Chang , Song-Yun Chen , Fei-Jun Huang , Hung-Chun Tsui

RESUMO

In this paper, we study multiple Eisenstein series (MES) in positive characteristic. By computing and analyzing the $t$-expansions of MES, we determine the precise "weights" of their coefficients. This framework enables us to establish a graded algebra structure for MES, extending the direct sum result for Thakur's multiple zeta values proved in [Cha14]. Our result may also be viewed as a function field analogue of the corresponding direct sum result of Bachmann and Kanno [BK26].

NO MESMO MAPA

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