Determination of cusp forms on by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan)

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• 作者：M. Krishnamurthy ^{mkrishna@math.uiowa.edu}
• 关键词：Automorphic forms ; L-functions ; Functoriality
• 刊名：Journal of Number Theory
• 出版年：2012
• 期刊代码：78_0022314x
• 类别：mt
• 出版时间：June, 2012
• 卷：132
• 期：6
• 页码：1359-1384
• 文件大小：328 K

摘要

Given a quadratic extension of number fields and a cuspidal representation 蟺 of , we give a full description of the fibers of the Asai transfer of 蟺. We then determine the extent to which Fourier coefficients defined by integral ideals of F determine the representation 蟺.