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on l-adic representations attached to modular forms II

  • Kenneth A. Ribet (a1)
Abstract

Suppose that is a newform of weight k on Г1(N). Thus f is in particular a cusp form on Г1(N), satisfying

for all n≥1. Associated with f is a Dirichlet character

such that

for all, .

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3. P. Deligne , Formes modulaires et représentations l-adiques, Lecture Notes in Math. 179 (1971), 139172.

5. P. Deligne , Formes modulaires et représentations de GL(2), Lecture Notes in Math. 349 (1973), 55105.

6. P. Deligne , Les constantes des équations fonctionnelles des fonctions L, Lecture Notes in Math. 349 (1973), 501597.

9. P. Kutzko , The Langlands conjecture for GL2 of a local field, Ann. of Math. (2) 112 (1980), 381412.

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12. K. Ribet , On l-adic representations attached to modular forms, Invent. Math. 28 (1975), 245275.

14. J-P. Rogawski and J. Tunnell , On Artin L-functions associated to Hilbert modular forms of weight one, Invent. Math. 74 (1983), 142.

15. J-P. Serre , Congruences et formes modulaires (d'apres H. P. F. Swinnerton-Dyer), Lectures Notes in Math. 317 (1973), 319338.

16. J-P. Serre , Proprietés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15 (1972), 259331.

18. H. P. F. Swinnerton-Dyer , On l-adic representations and congruences for coefficients of modular forms, Lecture Notes in Math. 350 (1973), 155.

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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
  • URL: /core/journals/glasgow-mathematical-journal
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