engleski

Modular curves and bases for the spaces of cuspidal modular forms

For a Fuchsian group in SL(2, R) and its character, the space of cuspidal modular forms of non-negative weight m is considered. A cuspidal modular form is constructed for each point in the upper half-plane. Its Fourier expansion is written, and applied to write Ramanujan delta function.

Fuchsian groups; SL(2); cuspidal modular forms; Ramanujan delta function

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