We present a method for calculating Fourier coefficients of eta-quotients, suggesting new connections in modular forms.
We give a list of $83$ holomorphic eta-quotients of integral weight. For each of them we give a simple closed formula for its Fourier coefficients $c(l)$ where l≡1m with some fixed m24. The proof involves Wohlfahrt's extension of Hecke operators and a dimension formula for spaces of modular forms of general multiplier system.
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Xiaojie Zhu (2024) studied this question.
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