Duke Mathematical Journal

Lifting cusp forms on ${\text{GL}}_{2n}$ to $\widetilde{{\text{Sp}}}_{2n}$: The unramified correspondence

David Ginzburg, Stephen Rallis, and David Soudry
Source: Duke Math. J. Volume 100, Number 2 (1999), 243-266.
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Primary Subjects: 11F70
Secondary Subjects: 11F67, 22E55
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077227353
Mathematical Reviews number (MathSciNet): MR1722953
Zentralblatt MATH identifier: 0991.11024
Digital Object Identifier: doi:10.1215/S0012-7094-99-10009-3

References

[GRS1] D. Ginzburg, S. Rallis, and D. Soudry, On explicit lifts of cusp forms from $\mathrmGL_m$ to classical groups, to appear in Ann. of Math. (2).
Mathematical Reviews (MathSciNet): MR1740991
Zentralblatt MATH: 0949.22019
Digital Object Identifier: doi:10.2307/121057
[GRS2] David Ginzburg, Stephen Rallis, and David Soudry, On a correspondence between cuspidal representations of $\rm GL\sb 2n$ and $\widetilde\rm Sp\sb 2n$, J. Amer. Math. Soc. 12 (1999), no. 3, 849–907.
Mathematical Reviews (MathSciNet): MR2000b:22018
Zentralblatt MATH: 0928.11027
Digital Object Identifier: doi:10.1090/S0894-0347-99-00300-8
[GRS3] David Ginzburg, Stephen Rallis, and David Soudry, $L$-functions for symplectic groups, Bull. Soc. Math. France 126 (1998), no. 2, 181–244.
Mathematical Reviews (MathSciNet): MR2000b:22017
Zentralblatt MATH: 0928.11026
[JSh1] H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic representations. I, Amer. J. Math. 103 (1981), no. 3, 499–558.
Mathematical Reviews (MathSciNet): MR82m:10050a
Zentralblatt MATH: 0473.12008
Digital Object Identifier: doi:10.2307/2374103
[JSh2] H. Jacquet and J. A. Shalika, On Euler products and the classification of automorphic forms. II, Amer. J. Math. 103 (1981), no. 4, 777–815.
Mathematical Reviews (MathSciNet): MR82m:10050b
Zentralblatt MATH: 0491.10020
Digital Object Identifier: doi:10.2307/2374050
[JSh3] Hervé Jacquet and Joseph Shalika, Exterior square $L$-functions, Automorphic forms, Shimura varieties, and $L$-functions, Vol. II (Ann Arbor, MI, 1988), Perspect. Math., vol. 11, Academic Press, Boston, MA, 1990, pp. 143–226.
Mathematical Reviews (MathSciNet): MR91g:11050
Zentralblatt MATH: 0695.10025

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