Geodesic
On base change for odd orthogonal groups
Journal of the American Mathematical Society, Tome 08 (1995) no. 4, pp. 975-996

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Cogdell, J. W.; Piatetski-Shapiro, I. I. On base change for odd orthogonal groups. Journal of the American Mathematical Society, Tome 08 (1995) no. 4, pp. 975-996. doi: 10.1090/S0894-0347-1995-1290233-3

[1] Arthur, James, Clozel, Laurent Simple algebras, base change, and the advanced theory of the trace formula 1989

[2] Cartier, P. Representations of 𝑝-adic groups: a survey 1979 111 155

[3] Cogdell, J. W., Piatetski-Shapiro, I. I. Base change for ̃𝑆𝐿₂ J. Number Theory 1987 285 303

[4] Cogdell, J. W., Piatetski-Shapiro, I. I. Base change for the Saito-Kurokawa representations of 𝑃𝐺𝑆𝑝(4) J. Number Theory 1988 298 320

[5] Eichler, Martin Quadratische Formen und orthogonale Gruppen 1952

[6] Gelbart, S., Piatetski-Shapiro, I. On Shimura’s correspondence for modular forms of half-integral weight 1981 1 39

[7] Gelbart, S., Piatetski-Shapiro, I. Some remarks on metaplectic cusp forms and the correspondences of Shimura and Waldspurger Israel J. Math. 1983 97 126

[8] Jacquet, H., Langlands, R. P. Automorphic forms on 𝐺𝐿(2) 1970

[9] Jacquet, H., Shalika, J. A. On Euler products and the classification of automorphic representations. I Amer. J. Math. 1981 499 558

[10] Kashiwara, M., Vergne, M. On the Segal-Shale-Weil representations and harmonic polynomials Invent. Math. 1978 1 47

[11] Kudla, Stephen S. On the local theta-correspondence Invent. Math. 1986 229 255

[12] Borel, A., Jacquet, H. Automorphic forms and automorphic representations 1979 189 207

[13] Piatetski-Shapiro, Ilya Work of Waldspurger 1984 280 302

[14] Piatetski-Shapiro, Ilya I., Soudry, David Special representations of rank one orthogonal groups Israel J. Math. 1988

[15] Rallis, S. Injectivity properties of liftings associated to Weil representations Compositio Math. 1984 139 169

[16] Rallis, Stephen, Schiffmann, Gã©Rard Weil representation. I. Intertwining distributions and discrete spectrum Mem. Amer. Math. Soc. 1980

[17] Serre, J.-P. A course in arithmetic 1973

[18] Silberger, Allan J. 𝑃𝐺𝐿₂ over the 𝑝-adics: its representations, spherical functions, and Fourier analysis 1970

[19] Venkov, A. B. Spectral theory of automorphic functions Trudy Mat. Inst. Steklov. 1981 172

[20] Waldspurger, J.-L. Correspondance de Shimura J. Math. Pures Appl. (9) 1980 1 132

[21] Waldspurger, Jean-Loup Correspondances de Shimura et quaternions Forum Math. 1991 219 307

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