Eisenstein series of weight . II
Abstract: In a previous paper we proved that for some special levels, in the space of elliptic modular forms with weight the orthogonal complement of the subspace of cusp forms with respect to the Petersson inner product is generated by the Eisenstein series. In this paper we prove that this fact is true for any level.
-  Ting Yi Pei, Eisenstein series of weight 3/2. I, Trans. Amer. Math. Soc. 274 (1982), no. 2, 573–606. MR 675068, https://doi.org/10.1090/S0002-9947-1982-0675068-1
-  J.-P. Serre and H. M. Stark, Modular forms of weight 1/2, Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976) Springer, Berlin, 1977, pp. 27–67. Lecture Notes in Math., Vol. 627. MR 0472707
- Ting-yi Pei, Eisenstein series of weight . I, Trans. Amer. Math. Soc. 274 (1982), 573-606. MR 675068 (83m:10035)
- J. P. Serre and H. M. Stark, Modular forms of weight , Modular functions of one variable, Lecture Notes in Math., vol. 627, Springer-Verlag, Berlin and New York, 1977. MR 0472707 (57:12400)
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