2010arXiv (Cornell University)Open access

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

Bernhard Heim, Atsushi Murase

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Abstract

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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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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Available abstract

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.

Key concepts: Homogeneous space, Space (punctuation), Characterization (materials science), Pure mathematics, Automorphic form, Mathematics, Automorphic L-function, Physics

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