Skip to main content
SpringerLink
Log in

Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes

  • 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. Erdelyi, A.: Tables of integral transforms Vol. II, New York Toronto London: McGraw-Hill 1954

    MATH  Google Scholar 

  2. Heath-Brown, D.R., Patterson, S.J.: The distribution of Kummer sums at prime arguments. J. Reine Angew. Math.310, 111–130 (1979)

    MathSciNet  MATH  Google Scholar 

  3. Jutila, M.: On the mean value of\(L\left( {\tfrac{1}{2},\chi } \right)\) for real characters. Analysis1, 149–161 (1981)

    Article  MathSciNet  Google Scholar 

  4. Rankin, R.A.: Modular forms and functions. Cambridge London New York: Cambridge University Press 1977

    Book  MATH  Google Scholar 

  5. Shimura, G.: On modular forms of half integral weight. Ann. Math.97, 440–481 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  6. Vaughan, R.C.: Mean value theorems in prime number theory. J. Lond. Math. Soc. (2)10, 153–162 (1975)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Rutgers University in New Brunswick, 08903, NJ, USA

    W. Duke & H. Iwaniec

Authors
  1. W. Duke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Iwaniec
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Research supported by NSF Grant No. DMS-8705939

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duke, W., Iwaniec, H. Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes. Math. Ann. 286, 783–802 (1990). https://doi.org/10.1007/BF01453602

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01453602

Keywords

Search

Navigation