Newforms of half-integral weight: the minus space counterpart

Autor: Baruch, Ehud Moshe, Purkait, Soma
Rok vydání: 2016
Předmět:
Zdroj: Can. J. Math.-J. Can. Math. 72 (2020) 326-372
Druh dokumentu: Working Paper
DOI: 10.4153/S0008414X19000233
Popis: We define a subspace of the space of holomorphic modular forms of weight $k+1/2$ and level $4M$ where $M$ is odd and square-free. We show that this subspace is isomorphic under the Shimura-Niwa correspondence to the space of newforms of weight $2k$ and level $2M$ and that this is a Hecke isomorphism. The space we define is a proper subspace of the orthogonal complement of the Kohnen plus space if the Kohnen plus space is nonzero.
Databáze: arXiv