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arxiv: 1610.06668 · v1 · pith:YAMZQOYCnew · submitted 2016-10-21 · 🧮 math.NT

Maass Spezialschar of Level N

classification 🧮 math.NT
keywords levelmaassspezialscharcalledcharactercharacterizationdirichletfinally
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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 $\Gamma_0(N)$. We finally obtain for all prime numbers $p$ local Maass relations. This generalizes known results for level $N=1$.

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