Work

On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result

Year: 2026

Type: preprint

Abstract: 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].

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18777

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

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science and Technology Council

OpenAlex ID: W7213513286

Cites: 3

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Related to: 10