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arXiv · 2008.09235

Certain L2-norms on automorphic representations of SL(2)

Hongyu He
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Abstract

Let $\Gamma$ be a non-uniform lattice in $SL(2, \mathbb R)$. In this paper, we study various $L^2$-norms of automorphic representations of $SL(2, \mathbb R)$. We bound these norms with intrinsic norms defined on the representation. Comparison of these norms will help us understand the growth of $L$-functions in a systematic way.

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BibTeXRIS

Hongyu He. 2020-08-21. Certain L2-norms on automorphic representations of SL(2). https://arxiv.org/abs/2008.09235

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