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An Eisenstein series of rational weight

Published 12 Sep 2022 in math.NT | (2209.05402v2)

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

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