A note on a lemma of Shimura

Author:
Ze-Li Dou

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

Published electronically:
May 22, 2002

MathSciNet review:
1929025

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Abstract | References | Similar Articles | Additional Information

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.

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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

DOI:
https://doi.org/10.1090/S0002-9939-02-06652-2

Keywords:
Quaternionic automorphic forms,
periods of automorphic forms,
theta correspondence

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

Article copyright:
© Copyright 2002
American Mathematical Society