Displaying similar documents to “Weighted restricted partitions”

Exceptional modular form of weight 4 on an exceptional domain contained in C.

Henry H. Kim (1993)

Revista Matemática Iberoamericana

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Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively. The θ-functions in the Siegel, Hermitian and quaternion cases provide examples of singular modular forms (Krieg [10]). Shimura [15] obtained a modular form of half-integral weight by analytically continuing an Eisenstein series. Bump and Bailey suggested the possibility of applying an analogue...