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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Shintani functions on $GL(2,{\mathbf{R}})$


Author: Miki Hirano
Journal: Trans. Amer. Math. Soc. 352 (2000), 1709-1721
MSC (1991): Primary 11F70
Published electronically: July 1, 1999
MathSciNet review: 1491868
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Abstract: In this paper, we give a formulation and an explicit formula for Shintani function on $GL(2,{\mathbf{R}})$, which has been studied by Murase and Sugano in the theory of automorphic $L$-functions. In particular, we obtain the multiplicity of this function.


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Additional Information

Miki Hirano
Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, 153, Japan
Email: hirano@ms406ss5.ms.u-tokyo.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-99-02286-2
PII: S 0002-9947(99)02286-2
Received by editor(s): May 29, 1997
Received by editor(s) in revised form: December 2, 1997
Published electronically: July 1, 1999
Article copyright: © Copyright 2000 American Mathematical Society