@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}, pages = {471--542}, publisher = {Elsevier}, volume = {Ser. 4, 11}, number = {4}, year = {1978}, doi = {10.24033/asens.1355}, mrnumber = {81e:10025}, zbl = {0406.10022}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1355/} }
TY - JOUR AU - Gelbart, Stephen AU - Jacquet, Hervé TI - A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$ JO - Annales scientifiques de l'École Normale Supérieure PY - 1978 SP - 471 EP - 542 VL - 11 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1355/ DO - 10.24033/asens.1355 LA - en ID - ASENS_1978_4_11_4_471_0 ER -
%0 Journal Article %A Gelbart, Stephen %A Jacquet, Hervé %T A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$ %J Annales scientifiques de l'École Normale Supérieure %D 1978 %P 471-542 %V 11 %N 4 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1355/ %R 10.24033/asens.1355 %G en %F 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://archive.numdam.org/articles/10.24033/asens.1355/
[Bo] Automorphic L-functions (Proc. of Symposia in Pure Math., Corvallis Conference, Oregon 1977, American Math. Soc., Vol. 33, 1979). | Zbl
,[De] Les constantes des équations fonctionnelles des fonctions L (Springer Lecture Notes, Vol. 349, 1973, pp. 501-598). | MR | Zbl
,[Ge] Weil's Representation and the Spectrum of the Metaplectic Group (Springer Lecture Notes, Vol. 530, 1976). | MR | Zbl
,[Ge Ja] 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 | Zbl
and ,[Ge J 1] Forms of GL (2) from the Analytic Point of View (Proc. of Symposia in Pure Math., American Math. Soc., Vol. 33, 1979). | MR | Zbl
and ,[Go Ja] Zeta-functions of Simple Algebras (Springer Lecture Notes, Vol. 260, 1972). | MR | Zbl
and ,[Ja] Automorphic Forms on GL (2): Part II (Springer Lecture Notes, Vol. 278, 1972). | MR | Zbl
,[Jl] Principal L-functions of the linear group (Proc. of Symposia in Pure Math., American Math. Soc., Vol. 33, 1979). | MR | Zbl
,[JL] Automorphic Forms on GL (2) (Springer Lecture Notes, Vol. 114, 1970). | MR | Zbl
and ,[JPSS] Automorphic Forms on GL (3) (Annals of Math., Vol. 109, 1979). | Zbl
, and ,[JSh] A non-vanishing Theorem for zeta-functions of GLn (Inventiones Math., 38, 1976, pp. 1-16). | MR | Zbl
and ,[LL] L-indistinguishability for SL (2), Institute for Advanced Study Princeton, 1977, (preprint).
and ,[La 1] Problems in the Theory of Automorphic Forms (Springer Lecture Notes in Mathematics, Vol. 170, 1970). | MR | Zbl
,[La 2] On the Functional Equation of the Artin L-Functions, mimeographed notes, Yale University, 1968.
,[La 3] On the Functional Equations satisfied by Eisenstein Series, mimeographed notes, Yale University, 1967.
,[La 4] Base Change for GL (2): The Theory of Saïto-Shintani with Applications, Institute for Advanced Study, Princeton, 1976, (preprint).
,[La 5] On the Notion of an Automorphic Rrepresentation [Proc. of Symposia in Pure Mathematics, Corvallis Conference, Oregon 1977 (to appear)]. | Zbl
,[Ra] 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 | MR | Zbl
,[Si] The Langlands quotient theorem for p-adic groups (preprint).
,[Se] 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 | Zbl
,[Sh] On the Holomorphy of Certain Dirichlet Series (Proc. London Math. Soc., (3) 31, 1975, pp. 79-95). | MR | Zbl
,[Ta] 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] Sur certains groupes d'opérateurs unitaires (Acta Math., Vol. 111, 1964, pp. 143-211). | MR | Zbl
,[We 2] On some Exponential Sums (Proc. Nat. Acad. sc., U.S.A., Vol. 34, 1948, pp. 204-207). | MR | Zbl
,Cité par Sources :