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arXiv · 2209.05402

An Eisenstein series of rational weight

Xiao-Jie Zhu
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Abstract

We study an Eisenstein series of weight $20/9$, level $11$ whose multiplier system is the same as $η^{44/9}(τ)η^{-4/9}(11τ)$. We prove that it is a modular form and obtain its Fourier expansion.

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Xiao-Jie Zhu. 2023-04-17. An Eisenstein series of rational weight. https://arxiv.org/abs/2209.05402

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