Maass Spezialschar of Level N

Bernhard Heim

arXiv:1610.06668·math.NT·October 24, 2016

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 $Γ_{0} (N)$ . We finally obtain for all prime numbers $p$ local Maass relations. This generalizes known results for level $N = 1$ .

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Taxonomy

TopicsAdvanced Algebra and Geometry · Analytic Number Theory Research · Advanced Mathematical Identities