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On cusp forms for co-finite subgroups ofPSL(2,ℝ)

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References

  • [A] Ahlfors, L.: Some remarks on Teichmüller's space of Riemann surfaces. Ann. Math.74, 171 (1961)

    Google Scholar 

  • [C] Colin de Verdiere, Y.: Pseudo-Laplacians i and II. Ann. Inst. Fourier32, 275–286 (1983);33, 87–113 (1983)

    Google Scholar 

  • [D] Doi, K., Naganuma, H.: On the functional equation of certain Dirichlet series. Invent. math.9, 1–14 (1969)

    Google Scholar 

  • [D, I, P, S] Deshouillers, J.M., Iwaniec, H., Phillips, R., Sarnak, P.: On Maass cusp forms. To appear

  • [E] Efrat, I.: Selberg trace formula rigidity and cusp forms. Thesis, New York University (1983)

  • [G] Gradshteyn, I., Ryzhik, I.: Tables of integrals and products. New York: Academic Press 1980

    Google Scholar 

  • [H] Hardy, G.: Sur les zeros de fonction ζ(s) de Riemann. Cr.158, 1012–14 (1914)

    Google Scholar 

  • [He] Hecke, E.: Eine neue Art von Zetafunktionen. Math. Z.6, 11–51, 249–288 (1920)

    Google Scholar 

  • [H1] Hejhal, D.A.: The Selberg trace formula forPSL(2,ℝ). S.P.L., Vol. 2, pp. 1001, 1983

    Google Scholar 

  • [H2] Hejhal, D.A.: Continuity method. Proc. 1983, Durham Symposium on Modular Forms and Functions

  • [K] Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966

    Google Scholar 

  • [Ku] Kubota, T.: Elementary theory of Eisenstein series. Tokyo: Kodansha 1973

    Google Scholar 

  • [L] Lax, P., Phillips, R.: Scattering theory for automorphic functions. Ann. Math. Stud.87, 300 (1976)

    Google Scholar 

  • [M] Maass, H.: Über eine neue Art von nichtanalytischen Automorphismen. Math. Ann.121, 141–183 (1949)

    Google Scholar 

  • [Mo] Moroz, B.Z.: On the convolution of HeckeL functions. Mathematika27, 312–320 (1980)

    Google Scholar 

  • [O] Ogg, A.: Dirichlet serles and modular forms. New York: Benjamin 1969

    Google Scholar 

  • [P] Petersson, H.: Einheitliche Begründung der Vollständigkeitssätze. Art. Abh. Math. Sem., Hamburg14, 22–60 (1941)

    Google Scholar 

  • [P, S] Phillips, R., Sarnak, P.: The Weyl theorem and the deformation of discrete groups. To appear

  • [S] Shimura, G.: The special values of the zeta functions associated with cusp forms. Commun. Pure Appl. Math.29, 783–804 (1976)

    Google Scholar 

  • [V] Venkov, A.B.: Spectral theory of automorphic functions. Proc. Steklov. Inst. Math.4, 163 (1982)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Stanford University, 94305, Stanford, CA, USA

    R. S. Phillips

  2. Courant Institute and Stanford University, 94305, Stanford, CA, USA

    P. Sarnak

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  1. R. S. Phillips
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  2. P. Sarnak
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Phillips, R.S., Sarnak, P. On cusp forms for co-finite subgroups ofPSL(2,ℝ). Invent Math 80, 339–364 (1985). https://doi.org/10.1007/BF01388610

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