On the Fourier coefficients of meromorphic Jacobi forms
نویسندگان
چکیده
منابع مشابه
On the Fourier expansions of Jacobi forms
We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q. Specifically, we show that for such indexes, a Jacobi form is uniquely determined by one of the associated components of the vector-valued modular form. However, in the case of indexes of the form pq or p2, there are ...
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In previous work, we introduced harmonic Maass-Jacobi forms. The space of such forms includes the classical Jacobi forms and certain Maass-Jacobi-Poincaré series, as well as Zwegers’ real-analytic Jacobi forms, which play an important role in the study of mock theta functions and related objects. Harmonic Maass-Jacobi forms decompose naturally into holomorphic and non-holomorphic parts. In this...
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ژورنال
عنوان ژورنال: International Journal of Number Theory
سال: 2014
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042114500419