Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL 2(ℤ) in terms of the values of modular functions at points in the divisor of f. Using this result, they studied the exponents in the infinite product expansion of a modular form and recurrence relations for Fourier coefficients of a modular form. In this paper, we extend these results to meromorphic modular forms on Γ0(N) for an arbitrary positive integer N >1.
|Number of pages||11|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2010 Oct|
ASJC Scopus subject areas
- Applied Mathematics