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arxiv: 1003.0573 · v1 · submitted 2010-03-02 · 🧮 math.NT

A characterization of the Maass space on O(2, m+2) by symmetries

classification 🧮 math.NT
keywords spacesymmetriesautomorphicformsmaasscertaincharacterizationcoincides
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In this paper, we define certain symmetries for automorphic forms on O(2, m+2) and show that the space of automorphic forms satisfying these symmetries coincides with the Maass space, the image of Saito-Kurokawa lifting.

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