An Eisenstein series of rational weight

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.

arXiv commentThis paper has been merged into another paper Holomorphic Eisenstein series of rational weights and special values of Gamma function, arXiv identifier 2210.06253