Inventiones mathematicae

, Volume 115, Issue 1, pp 219–239 | Cite as

Bounds for automorphicL-functions. II

  • W. Duke
  • J. B. Friedlander
  • H. Iwaniec


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  1. [AL] Atkin, A.O.L., Lehner, J.: Hecke operators on 239-1. Math. Ann.185, 134–160 (1970)Google Scholar
  2. [De] Deligne, P.: La conjecture de Weil. I. Publ. Math., Inst. Hautes Etud. Sci.43, 273–307 (1974)Google Scholar
  3. [Del] Deshouillers, J.-M., Iwaniec, H.: Kloosterman sums and Fourier coefficients of cusp forms. Invent. Math.70, 219–288 (1982)Google Scholar
  4. [Du] Duke, W.: Hyperbolic distribution problems and half-integral weight Maass forms. Invent. Math.92, 73–90 (1988)Google Scholar
  5. [DFI1] Duke, W., Friedlander, J., Iwaniec, H.: Bounds for automorphicL-functions. Invent. Math.112, 1–8 (1993)Google Scholar
  6. [DFI2] Duke, W., Friedlander, J., Iwaniec, H.: A quadratic divisor problem. Invent. Math.115, 209–217 (1994)Google Scholar
  7. [GR] Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products. Orlando: Academic Press 1980Google Scholar
  8. [GZ] Gross, B.H., Zagier, D.: Heegner points and derivatives ofL-series. Invent. Math.84, 225–320 (1986)Google Scholar
  9. [HL] Hoffstein, J., Lockhart, P.: Coefficients of Maass forms and the Siegel zero. Ann. Math. (to appear)Google Scholar
  10. [IR] Ireland, K., Rosen, M.: A Classical Introduction to Modern Number Theory, 2nd ed. Berlin Heidelberg New York: Springer 1982Google Scholar
  11. [Iw] Iwaniec, H.: Small eigenvalues of Laplacian for 239-2. Acta Arith.LVI, 65–82 (1990)Google Scholar
  12. [IS] Iwaniec, H., Sarnak, P.:L norms of eigenfunctions of arithmetic surfaces. Ann. Math. (to appear)Google Scholar
  13. [Ju] Jutila, M.: A Method in the Theory of Exponential Sums. (Tata Lecture Notes) Berlin Heidelberg New York: Springer 1987Google Scholar
  14. [Li] Liverance, E.: Heights of Heegner Points in a Family of Elliptic Curves. Thesis. University of Maryland (1993)Google Scholar
  15. [WW] Whittaker, E.T., Watson, G.N.: A Course of Modern Analysis. Cambridge: Cambridge University Press 1969Google Scholar

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • W. Duke
    • 1
  • J. B. Friedlander
    • 2
  • H. Iwaniec
    • 1
    • 2
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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