Journal article
Determination of cusp forms on GL(2) by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan)
Journal of number theory, Vol.132(6), pp.1359-1384
06/2012
DOI: 10.1016/j.jnt.2011.09.014
Abstract
Given E/F a quadratic extension of number fields and a cuspidal representation π of GL2(AE), we give a full description of the fibers of the Asai transfer of π. We then determine the extent to which Fourier coefficients defined by integral ideals of F determine the representation π.
Details
- Title: Subtitle
- Determination of cusp forms on GL(2) by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan)
- Creators
- M Krishnamurthy - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of number theory, Vol.132(6), pp.1359-1384
- DOI
- 10.1016/j.jnt.2011.09.014
- ISSN
- 0022-314X
- eISSN
- 1096-1658
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 06/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9984242427902771
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