Maass Spezialschar of Level N

Bernhard Heim

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arXiv · 1610.06668

Maass Spezialschar of Level N

Bernhard Heim

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Abstract

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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Bernhard Heim. 2016-10-21. Maass Spezialschar of Level N. https://arxiv.org/abs/1610.06668

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