Xiao-Jie Zhu's homepage
This is my personal web page. I'm now a post-doctor at East China Normal University. My areas of interest include (classical) modular forms, Jacobi forms, Weil representations and quadratic forms in number theory and integer partitions in combinatorics.
This site uses MathJax to display mathematics formulas. To see whether it works correctly, please check the formula \(\mathrm{e}^{\mathrm{i}x}=\cos x + \mathrm{i}\sin x.\) If it seems correct, you can right click the formula to see the latex sourcecode.
My ORCID: 0000-0002-6733-0755 »Web pages/Contact information
- Math Review page: 1076129
- zbMath page: Xiao-Jie Zhu
- ORCID page: 0000-0002-6733-0755
- arXiv page: Xiao-Jie Zhu
- ResearchGate page: Xiao-Jie Zhu
- email address: zhuxiaojiemath@outlook.com
- email address2: xjzhu@cs.ecnu.edu.cn
Areas of Interest/Research
- modular forms
- Jacobi forms
- Siegel modular forms
- Harmonic Maass forms
- Hecke operators
- Dedekind eta function
- Dedekind sums
- quadratic forms
- theta functions
- Weil representations
- integer partitions
- Frobenius partitions
- Appell-Leach sums
List of Publications
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Xiao-Jie Zhu, Explicit formulae for linear characters of \(\Gamma_0(N)\), Communications in Algebra 2025, published online.
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Xiao-Jie Zhu, Finite quadratic modules and lattices, Communications in Algebra 52 (2024): 604-629.
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Hai-Gang Zhou, Xiao-Jie Zhu, Double coset operators and eta-quotients, Journal of Number Theory 249 (2023): 537-601.
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Xiao-Jie Zhu, Holomorphic Eisenstein series of rational weights and special values of Gamma function, Acta Arithmetica 210 (2023): 279-305.
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Xiao-Jie Zhu, Taylor expansions of Jacobi forms and linear relations among theta series, Dissertationes Mathematicae 590 (2023): 1-66.
List of Preprints
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Rong Chen, Xiao-Jie Zhu, Correspondence among congruence families for generalized Frobenius partitions via modular permutations, Jun 2025.
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Xiao-Jie Zhu, A simple closed formula for Fourier coefficients of certain eta-quotients, Aug 2024.
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Xiao-Jie Zhu, Dimension formulas for modular form spaces of rational weights, the classification of eta-quotient characters and an extension of Martin's theorem, Aug 2024.
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Rong Chen, Xiao-Jie Zhu, Transformation properties of Andrews-Beck \(NT\) functions and generalized Appell-Lerch series, Jul 2024.
