Eisenstein series of weight 3/2. I

Pei, Ting Yi

doi:10.1090/S0002-9947-1982-0675068-1

Eisenstein series of weight $3/2$. I
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Trans. Amer. Math. Soc. 274 (1982), 573-606 Request permission

Abstract:

We prove that in the space of elliptic modular forms with weight 3/2, the orthogonal complement of the subspace of cusp forms with respect to the Petersson inner product is generated by Eisenstein series in some special cases.

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