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Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients
Marvin Knopp, Geoffrey Mason
We establish (Theorem 3.6) polynomial-growth estimates for the Fourier coefficients of holomorphic logarithmic vector-valued modular forms.
math.NT2011
Vector-valued modular forms with an unnatural boundary
Marvin Knopp, Geoffrey Mason
We characterize all logarithmic, holomorphic vector-valued modular forms which can be analytically continued to a region strictly larger than the upper half-plane.