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Mathematische Annalen

, Volume 255, Issue 4, pp 523–548 | Cite as

Cusp forms and eigenfunctions of the Laplacian

Article

Keywords

Cusp Form 
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References

  1. 1.
    Bruggeman, R.W.: Fourier coefficients of cusp. forms. Invent. math.45, 1–18 (1978)Google Scholar
  2. 2.
    Good, A.: Beiträge zur Theorie der Dirichletreihen, die spitzenformen zugeordnet sind. J Number Theory13, 18–65 (1981)Google Scholar
  3. 3.
    Good, A.: Local analysis of Selberg's trace formula (to appear)Google Scholar
  4. 4.
    Iwaniec, H.: Mean values for Fourier coefficients of cusp forms and the Riemann zeta-function. Bordeaux Sém. de Théorie des Nombres 1979/80Google Scholar
  5. 5.
    Kubota, T.: Elementary theory of Einsenstein series. New York: Hasted Press 1973Google Scholar
  6. 6.
    Magnus, W., Oberhettinger, F., Soni, R.P.: Formulas and theorems for the special functions of mathematical physics, 3rd ed. Berlin, Heidelberg, New York: Springer 1966Google Scholar
  7. 7.
    Petersson, H.: Über eine Metrisierung der automorphen Formen und die Theone der Poincaréreihen. Math. Ann.117, 453–537 (1940)Google Scholar
  8. 8.
    Rankin, R.A.: Contributions to the theory of Ramanujan's function τ(n) and similar arithmetical functions. II. Proc. Cambridge Phil. Soc.35, 357–372 (1939)Google Scholar
  9. 9.
    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
  10. 10.
    Selberg, A.: On the estimation of Fourier coefficients of modular forms. In: Proc. Symp. Pure Math. VIII, pp. 1–15. Providence: American Mathematical Society 1965Google Scholar
  11. 11.
    Siegel, C.L.: Some remarks on discontinuous groups. Ann. Math.46, 674–689 (1943)Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • A. Good
    • 1
  1. 1.Forschungsinstitut für MathematikETH-ZentrumZürichSwitzerland

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