Functional equation satisfied by certain L -functions

Freydoon Shahidi

Compositio Mathematica (1978)

  • Volume: 37, Issue: 2, page 171-207
  • ISSN: 0010-437X

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Shahidi, Freydoon. "Functional equation satisfied by certain $L$-functions." Compositio Mathematica 37.2 (1978): 171-207. <http://eudml.org/doc/89379>.

@article{Shahidi1978,
author = {Shahidi, Freydoon},
journal = {Compositio Mathematica},
keywords = {Functional Equations for L-Functions},
language = {eng},
number = {2},
pages = {171-207},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Functional equation satisfied by certain $L$-functions},
url = {http://eudml.org/doc/89379},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Shahidi, Freydoon
TI - Functional equation satisfied by certain $L$-functions
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 2
SP - 171
EP - 207
LA - eng
KW - Functional Equations for L-Functions
UR - http://eudml.org/doc/89379
ER -

References

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  1. [1] F. Bruhat: Sur une classe de sous-groupes compacts maximaux des groupes de Chevalley sur un corps p-adique. Inst. Hautes Étude Sci., Publ. Math.23 (1964) 45-74. Zbl0228.20014MR179298
  2. [2] W. Casselman and J.A. Shalika (in preparation). 
  3. [3] S. Gelbart and H. Jacquet, A relation between automorphic forms on GL(2) and GL(3), (1976) (preprint). Zbl0373.22008MR412156
  4. [4] S.G. Gindikin and F.I. Karpelevič, Plancheral measure for Riemann symmetric spaces of nonpositive curvature, Dokl. Akad. Nauk. SSSR, 145 (1962), 252-255;Soviet Math. Dokl.3 (1962) 962-965. Zbl0156.03201MR150239
  5. [5] Harish- Chandra: Automorphic forms on semisimple Lie groups. (Lecture notes in Math.62, Springer-Verlag, 1968). Zbl0186.04702MR232893
  6. [6] Harish- Chandra, Harmonic analysis on reductive P-adic groups, (Lecture, Conference on harmonic analysis, Williamstown, 1972). Zbl0289.22018
  7. [7] H. Jacquet, Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math. France95 (1967) 243-309. Zbl0155.05901MR271275
  8. [8] H. Jacquet and R.P. Langlands, Automorphic forms on GL(2) I, (Lecture notes in Math.114, Springer-Verlag, 1970). Zbl0236.12010MR401654
  9. [9] H. Jacquet and J.A. Shalika, Hecke theory for GL(n), in preparation. Zbl0318.22022
  10. [10] R.P. Langlands, Problems in the theory of automorphic forms, (Lecture notes in Math.170, Springer-Verlag, 1970, 18-86). Zbl0225.14022MR302614
  11. [11] R.P. Langlands, Euler products, Yale Univ. Press, New Haven, 1971; James Whittmore Memorial Lecture, 1967. Zbl0231.20016MR419366
  12. [12] R.P. Langlands: On the functional equation satisfied by Eisenstein series, Mimeographed notes. 
  13. [13] R.P. Langlands: On the classification of irreducible representations of real algebraic groups, Notes, Institute for Advanced Study. Zbl0741.22009
  14. [14] F. Rodier: Whittaker models for admissible representations. (Lecture, Conference on harmonic analysis, Williamstown, 1972). Zbl0243.22003
  15. [15] J.A. Shalika: The multiplicity one theorem for GLn, Ann. of Math.100 (1974) 171-193. Zbl0316.12010MR348047
  16. [16] G. Shimura: On the holomorphy of certain Dirichlet series, Proc. London Math. Soc. (3) 31 (1975) 79-98. Zbl0311.10029MR382176
  17. [17] J. Tate: Fourier analysis in number fields and Hecke's zeta function, thesis, Princeton, 1950. 

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