Eisenstein series of weight ${3\over 2}$. II
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- by Ting Yi Pei PDF
- Trans. Amer. Math. Soc. 283 (1984), 589-603 Request permission
Abstract:
In a previous paper we proved that for some special levels, 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 the Eisenstein series. In this paper we prove that this fact is true for any level.References
- Ting Yi Pei, Eisenstein series of weight $3/2$. I, Trans. Amer. Math. Soc. 274 (1982), no. 2, 573–606. MR 675068, DOI 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) Lecture Notes in Math., Vol. 627, Springer, Berlin, 1977, pp. 27–67. MR 0472707
Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 283 (1984), 589-603
- MSC: Primary 11F12
- DOI: https://doi.org/10.1090/S0002-9947-1984-0737886-2
- MathSciNet review: 737886