Distinguished representations and quadratic base change for <IMG ALIGN=MIDDLE >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Distinguished representations and quadratic base change for

Authors:	Herve Jacquet Yangbo Ye

Institution:	Department of Mathematics, Columbia University, New York, New York 10027 ; Department of Mathematics, The University of Iowa, Iowa City, Iowa 52242

Abstract:	Let be a quadratic extension of number fields. Suppose that every real place of splits in and let be the unitary group in 3 variables. Suppose that $\Pi$ is an automorphic cuspidal representation of $GL(3,E_{\mathbb{A}})$ . We prove that there is a form $\phi$ in the space of $\Pi$ such that the integral of $\phi$ over $H(F)\setminus H(F_{\mathbb{A}})$ is non zero. Our proof is based on earlier results and the notion, discussed in this paper, of Shalika germs for certain Kloosterman integrals.

Keywords:

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文