Metaplectic Eisenstein series and the Bump-Hoffstein conjecture
Toshiaki Suzuki
Source: Duke Math. J. Volume 90, Number 3
(1997), 577-630.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077232815
Mathematical Reviews number (MathSciNet): MR1480547
Zentralblatt MATH identifier: 0895.11020
Digital Object Identifier: doi:10.1215/S0012-7094-97-09016-5
References
[BH1] D. Bump and J. Hoffstein, Some conjectured relationships between theta functions and Eisenstein series on the metaplectic group, Number theory (New York, 1985/1988), Lecture Notes in Math., vol. 1383, Springer, Berlin, 1989, pp. 1–11.
Mathematical Reviews (MathSciNet): MR90m:11076
Zentralblatt MATH: 0677.10021
[BH2] D. Bump and J. Hoffstein, Some Euler products associated with cubic metaplectic forms on $\rm GL(3)$, Duke Math. J. 53 (1986), no. 4, 1047–1072.
Mathematical Reviews (MathSciNet): MR88d:11044
Zentralblatt MATH: 0613.10028
Digital Object Identifier: doi:10.1215/S0012-7094-86-05351-2
Project Euclid: euclid.dmj/1077305362
[KP] D. A. Kazhdan and S. J. Patterson, Metaplectic forms, Inst. Hautes Études Sci. Publ. Math. (1984), no. 59, 35–142.
Mathematical Reviews (MathSciNet): MR85g:22033
Zentralblatt MATH: 0559.10026
Digital Object Identifier: doi:10.1007/BF02698770
[P] S. J. Patterson, Metaplectic forms and Gauss sums. I, Compositio Math. 62 (1987), no. 3, 343–366.
Mathematical Reviews (MathSciNet): MR89f:11070
Zentralblatt MATH: 0632.10030
[S1] T. Suzuki, Rankin-Selberg convolutions of generalized theta series, J. Reine Angew. Math. 414 (1991), 149–205.
Mathematical Reviews (MathSciNet): MR92a:11051
Zentralblatt MATH: 0733.11017
Digital Object Identifier: doi:10.1515/crll.1991.414.149
[S2] T. Suzuki, On the biquadratic theta series, J. Reine Angew. Math. 438 (1993), 31–85.
Mathematical Reviews (MathSciNet): MR94m:11056
Zentralblatt MATH: 0789.11026
Digital Object Identifier: doi:10.1515/crll.1993.438.31
Duke Mathematical Journal
