Skip to main content
SpringerLink
Log in

The fourth moment of Ramanujan τ-function

  • 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

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. Elliott, P.D.T.A.: Multiplicative functions and Ramanujan's τ-function. J. Austral. Math. Soc. Ser. A.30, 461–468 (1981)

    Google Scholar 

  2. Gelbart, S.: Automorphic forms and Artin's conjecture, Lecture Notes in Math., Vol. 627, pp. 241–270. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  3. Jacquet, H., Shalika, J.A.: On Euler products and the classification of automorphic representations I. Am. Math.103, 499–558 (1981)

    Google Scholar 

  4. Rankin, R.A.: Sums of powers of cusp form coefficients. Math. Ann.263, 227–236 (1983)

    Google Scholar 

  5. Rankin, R.A.: Contributions to the theory of Ramanujan's function τ(n) and similar arithmetic functions, I, II. Proc. Cambridge Phil. Soc.35, 351–372 (1939); Proc. Cambridge Phil. Soc.36, 150–151 (1940)

    Google Scholar 

  6. Shahidi, F.: On nonvanishing ofL-functions. Bull. Am. Soc. Math.2, 462–464 (1980)

    Google Scholar 

  7. Shahidi, F.: On certainL-functions. Am. J. Math.103, 297–355 (1981)

    Google Scholar 

  8. Shimura, G.: On the holomorphy of certain Dirichlet series. Proc. London Math. Soc.31, 79–98 (1975)

    Google Scholar 

  9. Gelbart, S., Jacquet, H.: A relation between automorphic forms on GL(2) and GL(3). Proc. Nat. Acad. Sci. USA73, 3348–3350 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 61801, Urbana, IL, USA

    Carlos J. Moreno

  2. Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA

    Freydoon Shahidi

Authors
  1. Carlos J. Moreno
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Freydoon Shahidi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partially supported by NSF grant MCS81-01600

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moreno, C.J., Shahidi, F. The fourth moment of Ramanujan τ-function. Math. Ann. 266, 233–239 (1983). https://doi.org/10.1007/BF01458445

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458445

Keywords

Search

Navigation