Skip to main content
SpringerLink
Log in

A quadratic divisor problem

  • 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

  • [DeI1] Deshouillers J.-M., Iwaniec, H: An additive divisor problem. J. London Math. Soc.26, 1–14 (1982)

    Google Scholar 

  • [DeI2] Deshouillers J.-M. Iwaniec, H.: Kloosterman sums and Fourier coefficients of cusp forms. Invent. Math70, 219–288 (1982)

    Google Scholar 

  • [DFI1] Duke, W., Friedlander, J., Iwaniec, H.: Bounds for automorphicL-functions. Invent. Math.112, 1–8 (1993)

    Google Scholar 

  • [DFI2] Duke, W., Friedlander, J., Iwaniec H: Bounds for automorphicL-functions II Invent. Math.115, 219–239 (1994)

    Google Scholar 

  • [DuI] Duke, W., Iwaniec, H.: ConvolutionL-series (to appear)

  • [Es] Estermann, T.: Über die Darstellung einer Zahl als Differenz von swei Produkten. J. Reine Angew. Math.164, 173–182 (1931)

    Google Scholar 

  • [Ha] Hafner, J.L.: Explicit estimates in the arithmetic theory of Poincaré series, Math. Ann.264, 9–20 (1983)

    Google Scholar 

  • [HB] Heath-Brown, D.R.: The fourth power moment of the Riemann zeta-function, Proc. London Math. Soc.38, 385–422 (1979)

    Google Scholar 

  • [He] Hejhal, D.: Sur certaines séries de Dirichlet dont les pôles sont sur les lignes critiques. CR Acad. Sci. Paris, Sér A287, 383–385 (1978)

    Google Scholar 

  • [In] Ingham, A.E.: Some asymptotic formulae in the theory of numbers. J. London Math. Soc.2, 202–208 (1927)

    Google Scholar 

  • [Ju1] Jutila, M: A method in the theory of exponential sums, Tata Lect. Notes Math.80, Bombay (1987)

  • [Ju2] Jutila, M.: The additive divisor problem and exponential sums. In: Advances in Number Theory, 113–135. Proc Conf. Kingston Ont., 1991, Oxford (1993)

  • [Kl] Kloosterman, H.D.: On the representation of numbers in the formax 2+by 2+cz 2+dt 2. Acta Math.49, 407–464 (1926)

    Google Scholar 

  • [Ku] Kuznetsov, N.V.: Convolution of the Fourier coefficients of the Eisenstein-Maass series. Zap. Nauk Sem. LOMI129, 43–84 (1983)

    Google Scholar 

  • [Mo] Motohashi, Y: The binary additive divisor problem (to appear).

  • [Ra] Rademacher, H.: Topics in Analytic Number Theory, New York: Springer 1973

    Google Scholar 

  • [Sm] Smith, R.A.: The circle problem in an arithmetic progression, Can. Math. Bull.11, 175–184 (1968)

    Google Scholar 

  • [Wa] Watt, N: (preprint).

  • [Wi] Wirsing, E: (unpublished manuscript).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswich, NJ, USA

    W. Duke, J. B. Friedlander & H. Iwaniec

  2. Department of Mathematics, University of Toronto, MS5 1A1, Toronto, Canada

    W. Duke, J. B. Friedlander & H. Iwaniec

Authors
  1. W. Duke
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. B. Friedlander
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Iwaniec
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Oblatum 28-IV-1993

partially supported by NSF grant DMS-9202022

partially supported by NSERC grant A5123

partially supported by each of the above

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duke, W., Friedlander, J.B. & Iwaniec, H. A quadratic divisor problem. Invent Math 115, 209–217 (1994). https://doi.org/10.1007/BF01231758

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01231758

Keywords

Search

Navigation