A relation between automorphic representations of GL ( 2 ) and GL ( 3 )

Stephen Gelbart; Hervé Jacquet

Annales scientifiques de l'École Normale Supérieure (1978)

  • Volume: 11, Issue: 4, page 471-542
  • ISSN: 0012-9593

How to cite

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Gelbart, Stephen, and Jacquet, Hervé. "A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$." Annales scientifiques de l'École Normale Supérieure 11.4 (1978): 471-542. <http://eudml.org/doc/82024>.

@article{Gelbart1978,
author = {Gelbart, Stephen, Jacquet, Hervé},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {automorphic representations; automorphic forms; GL(2); GL(3); irreducible unitary representation; infinite tensor product; theta-function; Rankin-Selberg method},
language = {eng},
number = {4},
pages = {471-542},
publisher = {Elsevier},
title = {A relation between automorphic representations of $\{\rm GL\}(2)$ and $\{\rm GL\}(3)$},
url = {http://eudml.org/doc/82024},
volume = {11},
year = {1978},
}

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
PB - Elsevier
VL - 11
IS - 4
SP - 471
EP - 542
LA - eng
KW - automorphic representations; automorphic forms; GL(2); GL(3); irreducible unitary representation; infinite tensor product; theta-function; Rankin-Selberg method
UR - http://eudml.org/doc/82024
ER -

References

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  4. [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). Zbl0373.22008MR54 #283
  5. [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). Zbl0409.22013MR81e:10024
  6. [Go Ja] R. GODEMENT and H. JACQUET, Zeta-functions of Simple Algebras (Springer Lecture Notes, Vol. 260, 1972). Zbl0244.12011MR49 #7241
  7. [Ja] H. JACQUET, Automorphic Forms on GL (2): Part II (Springer Lecture Notes, Vol. 278, 1972). Zbl0243.12005MR58 #27778
  8. [Jl] H. JACQUET, Principal L-functions of the linear group (Proc. of Symposia in Pure Math., American Math. Soc., Vol. 33, 1979). Zbl0413.12007MR81f:22029
  9. [JL] H. JACQUET and R. LANGLANDS, Automorphic Forms on GL (2) (Springer Lecture Notes, Vol. 114, 1970). Zbl0236.12010MR53 #5481
  10. [JPSS] H. JACQUET, I. I. PIATETSKI-SHAPIRO and J. SHALIKA, Automorphic Forms on GL (3) (Annals of Math., Vol. 109, 1979). Zbl0401.10037
  11. [JSh] H. JACQUET and J. SHALIKA, A non-vanishing Theorem for zeta-functions of GLn (Inventiones Math., 38, 1976, pp. 1-16). Zbl0349.12006MR55 #5583
  12. [LL] J.-P. LABESSE and R. P. LANGLANDS, L-indistinguishability for SL (2), Institute for Advanced Study Princeton, 1977, (preprint). 
  13. [La 1] R. P. LANGLANDS, Problems in the Theory of Automorphic Forms (Springer Lecture Notes in Mathematics, Vol. 170, 1970). Zbl0225.14022MR46 #1758
  14. [La 2] R. P. LANGLANDS, On the Functional Equation of the Artin L-Functions, mimeographed notes, Yale University, 1968. 
  15. [La 3] R. P. LANGLANDS, On the Functional Equations satisfied by Eisenstein Series, mimeographed notes, Yale University, 1967. 
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  17. [La 5] R. P. LANGLANDS, On the Notion of an Automorphic Rrepresentation [Proc. of Symposia in Pure Mathematics, Corvallis Conference, Oregon 1977 (to appear)]. Zbl0414.22021
  18. [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). Zbl0021.39201MR1,69dJFM65.0353.01
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Citations in EuDML Documents

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  1. J.-L. Waldspurger, Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie
  2. Nicolas Bergeron, Propriétés de Lefschetz dans la cohomologie de certaines variétés arithmétiques : le cas des surfaces modulaires de Hilbert
  3. Michel Cognet, Représentation de Weil et changement de base quadratique
  4. Tamotsu Ikeda, On the location of poles of the triple L -functions
  5. Freydoon Shahidi, Third symmetric power L -functions for G L ( 2 )
  6. Guy Henniart, Progrès récents en fonctorialité de Langlands
  7. Guangshi Lü, Mean values connected with the Dedekind zeta-function of a non-normal cubic field
  8. Wenzhi Luo, Peter Sarnak, Quantum variance for Hecke eigenforms
  9. Guy Henniart, La conjecture de Langlands locale pour G L ( 3 )
  10. Henry H. Kim, The residual spectrum of S p 4

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