Skip to main content
SpringerLink
Log in

On various means involving the Fourier coefficients of cusp forms

  • 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

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. Deligne, P.: La conjecture de Weil I. Inst. Hautes Etudes Sci. Publ. Math.43, 273–307 (1974)

    Google Scholar 

  2. Erdélyi, A.: Asymptotic expansions. New York: Dover 1956

    Google Scholar 

  3. Goldfeld, D.: Analytic and arithmetic theory of Poincaré series. Astérisque61, 95–107. Paris: Soc. Math. France 1979

    Google Scholar 

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

    Google Scholar 

  5. Good, A.: Cusp forms and eigenfunctions of the Laplacian. Math. Ann.255, 523–548 (1981)

    Google Scholar 

  6. Good, A.: Local analysis of Selberg's trace formula (to appear)

  7. Good, A.: The square mean of Dirichlet series associated to cusp forms (to appear)

  8. Joris, H.: Ω-Sätze für gewisse multiplikative arithmetische Funktionen. Comment. Math. Helv.48, 409–435 (1973)

    Google Scholar 

  9. Kubota, T.: Elementary theory of Eisenstein series. New York: Halsted 1973

    Google Scholar 

  10. Magnus, W., Oberhettinger, F., Soni, R.P.: Formulas and theorems for the special functions of mathematical physics, 3rd ed. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  11. Montgomery, H.L.: Topics in multiplicative number theory. Lecture Notes in Math.227. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

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

    Google Scholar 

  13. Rankin, R.A.: Contribution to the theory of Ramanujan's function τ(n) and similar arithmetical functions II. Math. Proc. Cambridge Phil. Soc.35, 357–372 (1939)

    Google Scholar 

  14. Rankin, R.A.: An Ω-result for the coefficients of cusp forms. Math. Ann.203, 239–250 (1973)

    Google Scholar 

  15. Roelcke, W.: deÜber die Wellengleichung bei Grenzkreisgruppen erster Art. Sitzungsber. Heidelberger Akad. Wiss. Math.-Natur. Kl.4, 159–267 (1956)

    Google Scholar 

  16. Roelcke, W.: Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene I, II. Math. Ann.167, 292–337 (1966);168, 261–324 (1967)

    Google Scholar 

  17. Selberg, A.: On the estimation of Fourier coefficients of modular forms. In: Proc. Sympos. Pure Math.8, pp. 1–15. Providence: Amer. Math. Soc. 1965

    Google Scholar 

  18. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Princeton: University Press 1971

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Forschungsinstitut für Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    Anton Good

Authors
  1. Anton Good
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Good, A. On various means involving the Fourier coefficients of cusp forms. Math Z 183, 95–129 (1983). https://doi.org/10.1007/BF01187218

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01187218

Keywords

Search

Navigation