A cusp form is a Modular Form for which the coefficient in the Fourier Series

(Apostol 1997, p. 114). The only entire cusp form of weight is the zero function (Apostol 1997, p. 116). The set of all cusp forms in (all Modular Forms of weight ) is a linear subspace of which is denoted .

**References**

Apostol, T. M. *Modular Functions and Dirichlet Series in Number Theory, 2nd ed.* New York: Springer-Verlag,
pp. 114 and 116, 1997.

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1999-05-25