Skip to main content
Log in

Explicit estimates in the arithmetic theory of cusp forms and poincaré series

  • Published:
Mathematische Annalen 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.

Institutional subscriptions

References

  1. Goldfeld, D.: Analytic and arithmetic theory of Poincaré series. Astérisque61, 95–107 (1979)

    Google Scholar 

  2. Good, A.: Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind. J. Number Theory13, 18–65 (1981)

    Google Scholar 

  3. Kubota, T.: Elementary theory of Eisenstein series. Tokyo: Kodansha 1973

    Google Scholar 

  4. Neunhöffer, H.: Über die analytische Fortsetzung von Poincaréreihen. Sitzungsber. Heidelb. Akad. Wiss. Math.-Natur. Kl.2, 33–90 (1973)

    Google Scholar 

  5. Rankin, R.A.: The scalar product of modular forms. Proc. London Math. Soc.2, 198–217 (1952)

    Google Scholar 

  6. Rankin, R.A.: Modular forms and functions. Cambridge: Cambridge University Press 1977

    Google Scholar 

  7. Selberg, A.: On the estimation of Fourier coefficients of modular forms. Proc. Symp. Pure Math., AMS, Vol. VIII, Theory of Numbers, 1–15 (1965)

    Google Scholar 

  8. Watson, G.N.: A treatise on the theory of Bessel functions. 2nd ed. Cambridge: Cambridge University Press 1952

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by NSF Grant MCS 77-18723A03 at the Institute for Advanced Study, Princeton, New Jersey

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hafner, J.L. Explicit estimates in the arithmetic theory of cusp forms and poincaré series. Math. Ann. 264, 9–20 (1983). https://doi.org/10.1007/BF01458047

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458047

Keywords

Navigation