Maass Spezialschar of Level N

preprint2016arXivOpen access

In this paper the image of the Saito-Kurokawa lift of level $N$ with Dirichlet character is studied. We give a new characterization of this so called Maass Spezialschar of level $N$ by symmetries involving Hecke operators related to $Γ_0(N)$ . We finally obtain for all prime numbers $p$ local Maass relations. This generalizes known results for level $N=1$ .

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Maass Spezialschar of Level N

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