Skip to main content
SpringerLink
Log in

On a convolution ofL-series

  • Published:
Inventiones mathematicae Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck und Ruprecht 1959.

    Google Scholar 

  2. Lang, S.: Algebraic numbers. New York: Addison-Wesley 1964.

    Google Scholar 

  3. Ogg, A.: On the eigenvalues of Hecke operators. Math. Ann.179, 101–108 (1969).

    Google Scholar 

  4. Ogg, A.: Functional equations of modular forms (to appear).

  5. —: Elliptic curves and wild ramification. Amer. Jour.89, 1–21 (1967).

    Google Scholar 

  6. —: Abelian curves of small conductor. Crelles Jour.226, 204–215 (1967).

    Google Scholar 

  7. Ogg, A.: On the reduction of elliptic curves (in preparation).

  8. Petersson, H.: Konstruktion der sämtlichen Lösungen einer Riemannschen Funktionalgleichung durch Dirichlet-Reihen mit Eulerscher Produktentwicklung, I, II, III. Math. Ann.116, 401–412 (1939), and117, 39–64 and 277–300 (1940–1941).

    Google Scholar 

  9. Rankin, R.: Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions II. Proc. Camb. Phil. Soc.35, 357–372 (1939).

    Google Scholar 

  10. Tate, J.: Algebraic cycles and poles of zeta-functions. Arithmetical algebraic geometry, edited by O. Schilling. 93–110. New York: Harper and Row 1965.

    Google Scholar 

  11. Weil, A.: Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen. Math. Ann.168, 149–156 (1967).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, California, USA

    A. P. Ogg

Authors
  1. A. P. Ogg
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by National Science Foundation grant GP-7952X.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ogg, A.P. On a convolution ofL-series. Invent Math 7, 297–312 (1969). https://doi.org/10.1007/BF01425537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01425537

Keywords

Search

Navigation