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On the non-vanishing of certain Poincaré series

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Bibliography

  1. Horowitz, C.: Zeros of Functions in the Bergman Spaces. Duke Math. J.41, 693–710 (1974)

    Google Scholar 

  2. Horowitz, C.: Factorization Theorems for Functions in the Bergman Spaces. Duke Math. J.44, 201–213 (1977)

    Google Scholar 

  3. Kra, I.: Automorphic Forms and Kleinian Groups. Reading, Mass.: Benjamin 1972

    Google Scholar 

  4. Lehner, J.: Discontinuous Groups and Automorphic Functions. American Mathematical Society Surveys 8, Providence, R.I.: American Mathematical Society 1963

    Google Scholar 

  5. Metzger, T.A.: The Kernel of the Poincaré Series Operator. Proc. Amer. Math. Soc.76, 289–292 (1979)

    Google Scholar 

  6. Petersson, H.: Über eine Metrisierung der ganzen Modulformen. Jber. Deutsch. Math.-Verein.49, 49–75 (1939)

    Google Scholar 

  7. Petersson, H.: Über die Weierstrasspunkte und die expliziten Darstellungen der automorphen Formen von reeller Dimension. Math. Z.52, 32–59 (1949)

    Google Scholar 

  8. Rajeswara Rao, K.V.: Reproducing Formulas for Poincaré Series of Dimension-2 and Applications. in: Advances in the theory of Riemann surfaces. Proceedings of a Conference (Stony Brook 1969), pp. 329–340. Annals of Mathematics Studies66. Princeton, N.J.: Princeton University Press 1971

    Google Scholar 

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  1. Department of Mathematics, University of Pittsburgh, 15213, Pittsburgh, Pennsylvania, USA

    Thomas A. Metzger

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  1. Thomas A. Metzger
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Metzger, T.A. On the non-vanishing of certain Poincaré series. Math Z 175, 165–170 (1980). https://doi.org/10.1007/BF01674446

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