Skip to main content
Log in

p-adic distributions associated to heegner points on modular curves

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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. Greenberg, R.: On the Birch and Swinnerton-Dyer conjecture. Invent. Math.72, 241–265 (1983)

    Google Scholar 

  2. Gross, B.H.: Heegner points onX 0(N), in: Modular forms, ed. R.A. Rankin, Ellis Horwood Series Mathematics and its Applications, Chichester, 87–105 (1985)

  3. Gross, B.H., Zagier, D.: Heegner points and derivatives ofL-series. Invent. Math.84, 225–320 (1986)

    Google Scholar 

  4. Kurcanov, P.K.: The zeta functions of elliptic curves over certain abelian extensions of imaginary quadratic fields. Math. USSR Sbornik31, 49–62 (1977)

    Google Scholar 

  5. Lang, S.: Elliptic curves: diophantine analysis. Grundlehren der Math. Wiss. No.231. Berlin-Heidelberg-New York: Springer 1978

    Google Scholar 

  6. Manin, J.I.: Periods of modular forms andp-adic Hecke series. Math. USSR Sbornik21, 371–393 (1973)

    Google Scholar 

  7. Mazur, B., Swinnerton-Dyer, H.P.F.: Arithmetic of Weil curves. Invent. Math.25, 1–61 (1974)

    Google Scholar 

  8. Mazur, B.: A meromorphic continuation of the Gauss sum. Manuscript, unpublished

  9. Mazur, B.: Modular curves and arithmetic. Proceedings of the International Congress of Mathematicians, Warszawa August 16–24, 1983, Vol. 1, PWN. Amsterdam: North Holland 1984

    Google Scholar 

  10. Perrin-Riou, B.: Arithmétique des courbes elliptiques et thérie d' Iwasawa. Mem. Soc. Math. France17 (1984)

  11. Perrin-Riou, B.: FonctionsLp-adiques, théorie d'Iwasawa et points de Heegner. Preprint 1985

  12. Perrin-Riou, B.: FonctionsLp-adiques et points de Heegner. Preprint 1985

  13. Rohrlich, D.E.: OnL-functions of elliptic curves and anti-cyclotomic towers. Invent. Math.75, 383–408 (1984)

    Google Scholar 

  14. Rohrlich, D.E.: OnL-functions of elliptic curves and cyclotomic towers. Invent. Math.75, 409–423 (1984)

    Google Scholar 

  15. Rooij, A. van: Non-archimedean functional analysis. New York-Basel: Marcel Dekker 1985

    Google Scholar 

  16. Schneider, P.: Letter to the author, September 19, 1985

  17. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Princeton: Iwanami Shoten 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kohnen, W. p-adic distributions associated to heegner points on modular curves. Math Z 194, 443–456 (1987). https://doi.org/10.1007/BF01162249

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01162249

Keywords

Navigation