no. 2
L-functions for symplectic groups
Bulletin de la Société Mathématique de France, Tome 126 (1998) no. 2, pp. 181-244 
@article{BSMF_1998__126_2_181_0,
     author = {Ginzburg, David and Rallis, Stephen and Soudry, David},
     title = {$L$-functions for symplectic groups},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {181--244},
     year = {1998},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {126},
     number = {2},
     doi = {10.24033/bsmf.2325},
     mrnumber = {2000b:22017},
     zbl = {0928.11026},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/bsmf.2325/}
}
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Ginzburg, David; Rallis, Stephen; Soudry, David. $L$-functions for symplectic groups. Bulletin de la Société Mathématique de France, Tome 126 (1998) no. 2, pp. 181-244. doi: 10.24033/bsmf.2325

[BFG] Bump (D.), Friedberg (S.), Ginzburg (D.). - Whittaker-Orthogonal models, functoriality, and the Rankin-Selberg method, Invent Math., t. 109, 1992, p. 55-96. | Zbl | MR

[BFH] Bump (D.), Friedberg (S.), Hoffstein (J.). - p-Adic Whittaker functions on the metaplectic group, Duke Math. J., t. 63, n° 2, 1991, p. 379-397. | Zbl | MR

[C-S] Casselman (W.), Shalika (J.). - The unramified principal series of p-adic groups II : the Whittaker function, Compos. Math., t. 41, 1980, p. 207-231. | Zbl | MR | Numdam

[DM] Dixmier (J.), Malliavin (P.). - Factorizations des fonctions et de vecteurs indéfiniment différentiables, Bull. Sci. Math. II, t. 102, 1978, p. 307-330. | Zbl | MR

[GPS] Gelbart (S.), Piatetski-Shapiro (I.). - L-functions for G × GL(n), Springer Lecture Notes in Math., t. 1254, 1985.

[GS] Gelbart (S.), Shahidi (F.). - Analytic Properties of Automorphic L-Functions, Perspectives in Mathematics, t. 6, 1998. | Zbl | MR

[G] Ginzburg (D.). - L-functions for SOn × GLk, J. reine angew. Math., t. 405, 1990, p. 156-180. | Zbl | MR

[GRS1] Ginzburg (D.), Rallis (S.), Soudry (D.). - Periods, poles of L-functions and symplectic-orthogonal theta lifts, J. reine angew. math., t. 487, 1997, p. 85-114. | Zbl | MR

[GRS2] Ginzburg (D.), Rallis (S.), Soudry (D.). - A new construction of the inverse Shimura correspondance, IMRN, t. 7, 1997, p. 349-357. | Zbl | MR

[GRS3] Ginzburg (D.), Rallis (S.), Soudry (D.). - Self Dual GLn Automorphic modules, construction of a backward lifting from GLn to classical group, IMRN, t. 14, 1997, p. 687-701. | Zbl | MR

[JPSS] Jacquet (H.), Piatetski-Shapiro (I.), Shalika (J.). - Rankin-Selberg convolutions, Amer. J. Math. 105, 1983, p. 367-464. | Zbl | MR

[JS] Jacquet (H.), Shalika (J.). - Exterior square L-functions, in Automorphic forms, Shimura varieties and L-functions, L. Clozel and J. Milne eds, vol. II, 1988. | Zbl

[P] Perrin (P.). - Representations de Schrödinger, Indice de Maslov et groupe metaplectique, in Non Commutative Harmonic Analysis and Lie Groups, Proc. Marseille-Luming 1980, Springer Lecture Notes, t. 880, 1981, p. 370-407. | Zbl | MR

[P.S.] Piatetski-Shapiro (I.). - Euler Subgroups, in Lie groups and their Representations, Halsted, New York, 1975. | Zbl | MR

[S1] Soudry (D.). - Rankin-Selberg Convolutions for SO2l+1 × GLn : Local Theory, Memoirs of AMS, t. 500, 1993, p. 1-100. | Zbl | MR

[S2] Soudry (D.). - On the Archimedean theory of Rankin-Selberg convolutions for SO2l+1 × GLn, Ann. Scient. Éc. Norm. Sup., t. 28, 1995, p. 161-224. | Zbl | MR | Numdam

[T1] Ton-That (T.). - On holomorphic representations of symplectic groups, Bull. Amer. Math. Soc., t. 81, 1975, p. 1069-1072. | Zbl | MR

[T2] Ton-That (T.). - Lie groups representations and harmonic polynomials of a matrix variable, Trans. Amer. Math. Soc., t. 126, 1976, p. 1-46. | Zbl | MR

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