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Cusp forms and eigenfunctions of the Laplacian

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References

  1. Bruggeman, R.W.: Fourier coefficients of cusp. forms. Invent. math.45, 1–18 (1978)

    Google Scholar 

  2. Good, A.: Beiträge zur Theorie der Dirichletreihen, die spitzenformen zugeordnet sind. J Number Theory13, 18–65 (1981)

    Google Scholar 

  3. Good, A.: Local analysis of Selberg's trace formula (to appear)

  4. Iwaniec, H.: Mean values for Fourier coefficients of cusp forms and the Riemann zeta-function. Bordeaux Sém. de Théorie des Nombres 1979/80

  5. Kubota, T.: Elementary theory of Einsenstein series. New York: Hasted Press 1973

    Google Scholar 

  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 1966

    Google Scholar 

  7. Petersson, H.: Über eine Metrisierung der automorphen Formen und die Theone der Poincaréreihen. Math. Ann.117, 453–537 (1940)

    Google Scholar 

  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. 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. Selberg, A.: On the estimation of Fourier coefficients of modular forms. In: Proc. Symp. Pure Math. VIII, pp. 1–15. Providence: American Mathematical Society 1965

    Google Scholar 

  11. Siegel, C.L.: Some remarks on discontinuous groups. Ann. Math.46, 674–689 (1943)

    Google Scholar 

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  1. Forschungsinstitut für Mathematik, ETH-Zentrum, CH-8092, Zürich, Switzerland

    A. Good

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  1. A. Good
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Good, A. Cusp forms and eigenfunctions of the Laplacian. Math. Ann. 255, 523–548 (1984). https://doi.org/10.1007/BF01451932

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  • DOI: https://doi.org/10.1007/BF01451932

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