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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On Euler products associated with noncuspidal metaplectic forms
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by Shamita Dutta Gupta and Xiaotie She PDF
Proc. Amer. Math. Soc. 128 (2000), 2203-2212 Request permission

Abstract:

In this paper, we obtain an Euler product with functional equation associated to a noncuspidal metaplectic form $f$ on the double cover of $GL(2)$. Zagier’s idea of Rankin-Selberg method is used to define the convolution of $f$ and the $\theta$-function.
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Additional Information
  • Shamita Dutta Gupta
  • Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
  • Email: duttagus@fiu.edu
  • Xiaotie She
  • Affiliation: Financial Data Planning Corporation, 2140 S. Dixie Highway, Miami, Florida 33133
  • Email: xiaoties@fdpcorp.com
  • Received by editor(s): September 8, 1998
  • Published electronically: February 25, 2000
  • Communicated by: Dennis A. Hejhal
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 2203-2212
  • MSC (1991): Primary 11F55; Secondary 11F30
  • DOI: https://doi.org/10.1090/S0002-9939-00-05593-3
  • MathSciNet review: 1707145