Quelques propriétés arithmétiques de certaines formes automorphes sur GL ( 2 )

J.-L. Waldspurger

Compositio Mathematica (1985)

  • Volume: 54, Issue: 2, page 121-171
  • ISSN: 0010-437X

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Waldspurger, J.-L.. "Quelques propriétés arithmétiques de certaines formes automorphes sur GL$(2)$." Compositio Mathematica 54.2 (1985): 121-171. <http://eudml.org/doc/89701>.

@article{Waldspurger1985,
author = {Waldspurger, J.-L.},
journal = {Compositio Mathematica},
keywords = {automorphic forms for GL(2); arithmetic automorphic forms; Eichler- Shimura isomorphism; cuspidal automorphic representations; admissible irreducible representations; quaternion algebra; field of rationality},
language = {fre},
number = {2},
pages = {121-171},
publisher = {Martinus Nijhoff Publishers},
title = {Quelques propriétés arithmétiques de certaines formes automorphes sur GL$(2)$},
url = {http://eudml.org/doc/89701},
volume = {54},
year = {1985},
}

TY - JOUR
AU - Waldspurger, J.-L.
TI - Quelques propriétés arithmétiques de certaines formes automorphes sur GL$(2)$
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 2
SP - 121
EP - 171
LA - fre
KW - automorphic forms for GL(2); arithmetic automorphic forms; Eichler- Shimura isomorphism; cuspidal automorphic representations; admissible irreducible representations; quaternion algebra; field of rationality
UR - http://eudml.org/doc/89701
ER -

References

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  1. [B1] A. Borel: Cohomology of Arithmetic Groups. In: Proceedings of the International Congress of Mathematicians, Vancouver (1974) pp. 435-442. Zbl0338.20051MR578905
  2. [B2] A. Borel: Introduction aux groupes arithmétiques, Hermann, Paris (1969). Zbl0186.33202MR244260
  3. [D] P. Deligne: Valeurs de fonctions L et périodes d'intégrales, in Automorphic Forms, Representations and L-Functions, Proceedings of Symposia in Pure Math. XXXIII, Part 2, AMS1979, pp. 313-346. Zbl0449.10022MR546622
  4. [H] G. Harder: General aspects in the theory of modular symbols, preprint. Zbl0526.10027
  5. [JL] H. Jacquet et R.P. Langlands: Automorphic Forms on GL(2), Springer Lecture Notes114, Berlin- Heidelberg-New-York (1970). Zbl0236.12010MR401654
  6. [L] R.P. Langlands: Modular forms and l-adic representations, in Modular Functions of One Variable II, Springer Lecture Notes349, Berlin-Heidelberg-New-York (1973) pp. 361-500. Zbl0279.14007MR354617
  7. [S1] J-P. Serre: Cohomologie des groupes discrets, in Prospects in Mathematics, Annals of Math. Studies70, Princeton (1971) 77-169. Zbl0235.22020MR385006
  8. [S2] J-P. Serre: Représentations linéaires des groupes finis, Hermann, Paris (1967). Zbl0189.02603MR232867
  9. [Sh] G. Shimura: Une bonne part de l'oeuvre de Shimura depuis 15 ans et consacrée au développement de la théorie que nous occupe ici, et à ses multiples applications arithmétiques. Il faudrait citer ici la plupart des articles qu'il a publiés. Contentons-nous de donner la référence fondamentale [Sh1] et celle, plus récente, [Sh2] où il développe une théorie analogue à celle de notre troisième chapitre. 
  10. [Sh1] G. Shimura: Introduction to the arithmetic theory of automorphic functions, Publ. of the Math. Soc. of Japan11 (1971). Zbl0221.10029MR314766
  11. [Sh2] G. Shimura: The periods of certain automorphic forms of arithmetic type, Jour. of the Fac. of Sc. Tokyo28 (1982) 605-632. Zbl0499.10027MR656039
  12. [W1] J-L. Waldspurger: Correspondance de Shimura, J. Math. pures et appliquées59 (1980) 1-133. Zbl0412.10019MR577010
  13. [W2] J-L. Waldspurger: Correspondances de Shimura et quaternions, non publié. Zbl0724.11026
  14. A. Robert: Modular Representations of the Group GL(2) over a local Field, J. of Algebra22 (1972) 386-405. Zbl0241.20033MR304562
  15. C. Soule: Cohomologie des groupes discrets et formes automorphes, in Variétés de Shimura et Fonctions L, par L. Breen, J-P. Labesse, Publ. Math. de l'Univ. Paris VII, Paris (1979) p. 131-143. Zbl0559.14013

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