A relation between automorphic representations of GL (2) and GL (3)
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 11 (1978) no. 4, p. 471-542
@article{ASENS_1978_4_11_4_471_0,
     author = {Gelbart, Stephen and Jacquet, Herv\'e},
     title = {A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     publisher = {Elsevier},
     volume = {Ser. 4, 11},
     number = {4},
     year = {1978},
     pages = {471-542},
     doi = {10.24033/asens.1355},
     zbl = {0406.10022},
     mrnumber = {81e:10025},
     language = {en},
     url = {http://www.numdam.org/item/ASENS_1978_4_11_4_471_0}
}
Gelbart, Stephen; Jacquet, Hervé. A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 11 (1978) no. 4, pp. 471-542. doi : 10.24033/asens.1355. http://www.numdam.org/item/ASENS_1978_4_11_4_471_0/

[Bo] A. Borel, Automorphic L-functions (Proc. of Symposia in Pure Math., Corvallis Conference, Oregon 1977, American Math. Soc., Vol. 33, 1979). | Zbl 0412.10017

[De] P. Deligne, Les constantes des équations fonctionnelles des fonctions L (Springer Lecture Notes, Vol. 349, 1973, pp. 501-598). | MR 50 #2128 | Zbl 0271.14011

[Ge] S. Gelbart, Weil's Representation and the Spectrum of the Metaplectic Group (Springer Lecture Notes, Vol. 530, 1976). | MR 54 #12654 | Zbl 0365.22017

[Ge Ja] S. Gelbart and H. Jacquet, A Relation between Automorphic Forms on GL (2) and GL (3) (Proc. Nat. Acad. Sc. U.S.A., Vol. 73, No. 10, october 1976, pp. 3348-3350). | MR 54 #283 | Zbl 0373.22008

[Ge J 1] S. Gelbart and H. Jacquet, Forms of GL (2) from the Analytic Point of View (Proc. of Symposia in Pure Math., American Math. Soc., Vol. 33, 1979). | MR 81e:10024 | Zbl 0409.22013

[Go Ja] R. Godement and H. Jacquet, Zeta-functions of Simple Algebras (Springer Lecture Notes, Vol. 260, 1972). | MR 49 #7241 | Zbl 0244.12011

[Ja] H. Jacquet, Automorphic Forms on GL (2): Part II (Springer Lecture Notes, Vol. 278, 1972). | MR 58 #27778 | Zbl 0243.12005

[Jl] H. Jacquet, Principal L-functions of the linear group (Proc. of Symposia in Pure Math., American Math. Soc., Vol. 33, 1979). | MR 81f:22029 | Zbl 0413.12007

[JL] H. Jacquet and R. Langlands, Automorphic Forms on GL (2) (Springer Lecture Notes, Vol. 114, 1970). | MR 53 #5481 | Zbl 0236.12010

[JPSS] H. Jacquet, I. I. Piatetski-Shapiro and J. Shalika, Automorphic Forms on GL (3) (Annals of Math., Vol. 109, 1979). | Zbl 0401.10037

[JSh] H. Jacquet and J. Shalika, A non-vanishing Theorem for zeta-functions of GLn (Inventiones Math., 38, 1976, pp. 1-16). | MR 55 #5583 | Zbl 0349.12006

[LL] J.-P. Labesse and R. P. Langlands, L-indistinguishability for SL (2), Institute for Advanced Study Princeton, 1977, (preprint).

[La 1] R. P. Langlands, Problems in the Theory of Automorphic Forms (Springer Lecture Notes in Mathematics, Vol. 170, 1970). | MR 46 #1758 | Zbl 0225.14022

[La 2] R. P. Langlands, On the Functional Equation of the Artin L-Functions, mimeographed notes, Yale University, 1968.

[La 3] R. P. Langlands, On the Functional Equations satisfied by Eisenstein Series, mimeographed notes, Yale University, 1967.

[La 4] R. P. Langlands, Base Change for GL (2): The Theory of Saïto-Shintani with Applications, Institute for Advanced Study, Princeton, 1976, (preprint).

[La 5] R. P. Langlands, On the Notion of an Automorphic Rrepresentation [Proc. of Symposia in Pure Mathematics, Corvallis Conference, Oregon 1977 (to appear)]. | Zbl 0414.22021

[Ra] R. Rankin, Contributions to the Theory of Ramanujan's Function τ(n) and Similar Arithmetical Functions (Proc. Camb. Phil. Soc., Vol. 35, 1939, pp. 351-356). | JFM 65.0353.01 | MR 1,69d | Zbl 0021.39201

[Si] A. Silberger, The Langlands quotient theorem for p-adic groups (preprint).

[Se] A. Selberg, On the Estimation of Fourier Coefficients of Modular Forms (Proc. of Symposia in Pure Math., Vol. 8, A.M.S., Providence, R.I., 1965). | MR 32 #93 | Zbl 0142.33903

[Sh] G. Shimura, On the Holomorphy of Certain Dirichlet Series (Proc. London Math. Soc., (3) 31, 1975, pp. 79-95). | MR 52 #3064 | Zbl 0311.10029

[Ta] J. Tate, Fourier Analysis in Number Fields and Hecke's zeta-function, in Algebraic Number Theory (Proc. of the Brighton Conference, Academic Press, New York, 1968).

[We 1] A. Weil, Sur certains groupes d'opérateurs unitaires (Acta Math., Vol. 111, 1964, pp. 143-211). | MR 29 #2324 | Zbl 0203.03305

[We 2] A. Weil, On some Exponential Sums (Proc. Nat. Acad. sc., U.S.A., Vol. 34, 1948, pp. 204-207). | MR 10,234e | Zbl 0032.26102