Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Author(s): Miki Hirano
Journal: Trans. Amer. Math. Soc. 352 (2000), 1709-1721.
MSC (1991): Primary 11F70
Posted: 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 -functions. In particular, we obtain the multiplicity of this function.

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