4 citations · 4 across the 11 of their papers we have counts for
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A formula for Fourier coefficients of certain eta-quotients and their expansions as Eisenstein series
Xiao-Jie Zhu
We give a list of holomorphic eta-quotients of integral weight ( of which are primitive) and provide a uniform closed formula for their Fourier coefficients where…
Dimension formulas for modular form spaces of rational weights, the classification of eta-quotient characters and an extension of Martin's theorem
Xiao-Jie Zhu
We give an explicit formula for dimensions of spaces of rational-weight modular forms whose multiplier systems are induced by eta-quotients of fractional exponents. As the first ap…
Transformation properties of Andrews-Beck functions and generalized Appell-Lerch series
Rong Chen, Xiao-Jie Zhu
In 2021, Andrews mentioned that George Beck introduced a partition statistic which is related to Dyson's rank statistic. Motivated by Andrews's work, scholars have esta…
Explicit formulae for linear characters of
Xiao-Jie Zhu
We give explicit formulae for a class of complex linear unitary characters of the congruence subgroups which involve a variant of Rademacher's function. We then prove…