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math.NT2022
Holomorphic Eisenstein series of rational weights and special values of Gamma function
Xiao-Jie Zhu
We give all possible holomorphic Eisenstein series on , of rational weights greater than , and with multiplier systems the same as certain rational-weight eta-quotients…
math.NT2022
An Eisenstein series of rational weight
Xiao-Jie Zhu
We study an Eisenstein series of weight , level whose multiplier system is the same as . We prove that it is a modular form and obtain its Four…
math.NT2022
Taylor expansions of Jacobi forms and linear relations among theta series
Xiao-Jie Zhu
We study Taylor expansions of Jacobi forms of lattice index. As the main result, we give an embedding from certain space of such forms, whether scalar-valued or vector-valued, inte…