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Monstrous Moonshine of higher weight

C. Dong·G. Mason
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Abstract

We determine the space of 1-point correlation functions associated with the Moonshine module: they are precisely those modular forms of non-negative integral weight which are holomorphic in the upper half plane, have a pole of order at most 1 at infinity, and whose Fourier expansion has constant 0. There are Monster-equivariant analogues in which one naturally associates to each element in the Monster a modular form of fixed weight k, the case k=0 corresponding to the original ``Moonshine'' of Conway and Norton.

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C. Dong, G. Mason. 1998-06-12. Monstrous Moonshine of higher weight. https://arxiv.org/abs/math/9803116

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