Abstract
Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular formsffonSL2(Z)SL_2(\mathbb {Z})in terms of the values of modular functions at points in the divisor offf. 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 onΓ0(N)\Gamma _0(N)for an arbitrary positive integerN>1N>1.
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