A note on a lemma of Shimura
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Abstract:
The subject of this paper is a quaternion algebra over a quadratic extension of a totally real algebraic number field. We generalize an important technical lemma of Shimura, on which a certain period of automorphic forms depends.References
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Additional Information
- Ze-Li Dou
- Affiliation: Department of Mathematics, Texas Christian University, P. O. Box 298900, Fort Worth, Texas 76129
- Email: z.dou@tcu.edu
- Received by editor(s): February 14, 2000
- Received by editor(s) in revised form: August 22, 2001
- Published electronically: May 22, 2002
- Additional Notes: Research for this article was partially supported by NSA Grant MDA904-97-1-0109 and by the Texas Christian University Research Fund.
- Communicated by: Dennis A. Hejhal
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 77-82
- MSC (2000): Primary 11F30, 11F41, 11F55, 11F67
- DOI: https://doi.org/10.1090/S0002-9939-02-06652-2
- MathSciNet review: 1929025