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arXiv · 2207.02118

Local newforms for generic representations of unramified ${\rm U}_{2n+1}$ and Rankin-Selberg integrals

Yao Cheng
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Abstract

Recently Atobe-Oi-Yasuda established the newform theory for irreducible tempered generic representations of unramified ${\rm U}_{2n+1}$ over non-archimedean local fields. In this paper we extend their result to every irreducible generic representations and compute the dimensions of the spaces of oldforms. We also compute the Rankin-Selberg integrals attached to newforms and oldforms under a natural assumption on the $\gamma$-factors defined by these integrals.

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BibTeXRIS

Yao Cheng. 2022-07-05. Local newforms for generic representations of unramified ${\rm U}_{2n+1}$ and Rankin-Selberg integrals. https://arxiv.org/abs/2207.02118

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