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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Shintani functions on $GL(2,\mathbf {R})$
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by Miki Hirano PDF
Trans. Amer. Math. Soc. 352 (2000), 1709-1721 Request permission

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
  • MR Author ID: 601430
  • Email: hirano@ms406ss5.ms.u-tokyo.ac.jp
  • Received by editor(s): May 29, 1997
  • Received by editor(s) in revised form: December 2, 1997
  • Published electronically: July 1, 1999
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 1709-1721
  • MSC (1991): Primary 11F70
  • DOI: https://doi.org/10.1090/S0002-9947-99-02286-2
  • MathSciNet review: 1491868