Shintani functions on $GL(2,{\mathbf {C}})$
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- by Miki Hirano PDF
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Abstract:
In this paper, in analogy to the real case, we give a formulation of the Shintani functions on $GL(2,\mathbf {C})$, which have been studied by Murase and Sugano within the theory of automorphic $L$-functions. Also, we obtain the multiplicity one theorem for these functions and an explicit formula in a special case.References
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Additional Information
- Miki Hirano
- Affiliation: Department of Mathematical Sciences, Faculty of Science, Ehime University, Ehime, 790-8577, Japan
- MR Author ID: 601430
- Email: hirano@math.sci.ehime-u.ac.jp
- Received by editor(s): November 23, 1999
- Received by editor(s) in revised form: April 13, 2000
- Published electronically: November 29, 2000
- Additional Notes: This work was partially supported by JSPS Research Fellowships for Young Scientists
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 1535-1550
- MSC (1991): Primary 11F70
- DOI: https://doi.org/10.1090/S0002-9947-00-02718-5
- MathSciNet review: 1806729