Skip to main content
Log in

Modp Hecke operators and congruences between modular forms

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Deligne, P., Rapoport, M.: Schémas de modules de courbes elliptiques, Lecture Notes in Math., vol. 349, pp. 143–174. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

  2. Doi, K., Hida, H.: On a certain congruence of cusp forms and the special values of their Dirichlet series. Unpublished manuscript, 1979

  3. Doi, K., Ohta, M.: On some congruences between cusp forms on Γ0(N). Lecture Notes in Math., vol. 601, pp. 91–105. Berlin-Heidelberg-New York: 1977

  4. Hatada, K.: Eigenvalues of Hecke operators onSL(2,Z). Math. Ann.239, 75–96 (1979)

    Google Scholar 

  5. Hatada, K.: Congruences for eigenvalues of Hecke operators onSL 2 (Z). Manuscripta Math.34, 305–326 (1981)

    Google Scholar 

  6. Hida, H.: Congruences for cusp forms and special values of their zeta functions. Invent. Math.63, 225–261 (1981)

    Google Scholar 

  7. Hida, H.: On congruence divisors of cusp forms as factors of the special values of their zeta functions. Invent. Math.64, 221–262 (1981)

    Google Scholar 

  8. Hida, H.: Kummer's criterion for the special values of HeckeL-functions of imaginary quadratic fields and congruences among cusp forms. Invent. Math.66, 415–459 (1982)

    Google Scholar 

  9. Jochnowitz, N.: A study of the local components of the Hecke algebra modl. Trans. AMS.270, 253–267 (1982)

    Google Scholar 

  10. Koike, M.: A note on modular forms modp. Proc. Japan Acad. Ser. A55, 313–315 (1979)

    Google Scholar 

  11. Lang, S.: Introduction to Modular Forms. Berlin-Heidelberg-New York: Springer 1976

    Google Scholar 

  12. Mazur, B.: Modular curves and the Eisenstein ideal. Publ. Math. I.H.E.S.47, 33–186 (1977)

    Google Scholar 

  13. Mazur, B.: Rational isogenies of prime degree. Invent. Math.44, 129–162 (1978)

    Google Scholar 

  14. Ribet, K.: Congruences between modular forms on Γ0(p q). Proceedings ICM 1983. In preparation

  15. Shimura, G.: Introduction to the Arithmetic Theory of Automorphic Functions, Princeton: Princeton University Press 1971

    Google Scholar 

  16. Wiles, A.: Modular curves and the class group ofQ p ). Invent. Math.58, 1–35 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by the National Science Foundation

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ribet, K.A. Modp Hecke operators and congruences between modular forms. Invent Math 71, 193–205 (1983). https://doi.org/10.1007/BF01393341

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393341

Keywords

Navigation