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On maass wave forms and the imaginary quadratic Doi-Naganuma lifting

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References

  1. Asai, T.: On the Doi-Naganuma lifting associated with imaginary quadratic fields. Nagoya Math. J.71, 149–167 (1978)

    Google Scholar 

  2. Doi, K., Naganuma, H.: On the functional equation of certain Dirichlet series. Invent. Math.9, 1–14 (1969)

    Google Scholar 

  3. Friedberg, S.: On the imaginary quadratic Doi-Naganuma lifting of modular forms of arbitrary level. Nagoya Math. J.92 (1983)

  4. Gradshteyn, I., Ryzhik, I.: Tables of integrals, series, and products. Corrected and enlarged edition. New York: Academic Press 1980

    Google Scholar 

  5. Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck and Ruprecht 1970

    Google Scholar 

  6. Hejhal, D.: The Selberg trace formula forPSL(2,ℝ). Vol. I. Lecture Notes in Math. 548. Berlin, Heidelberg, New York: Springer 1976; Vol. II (to appear)

    Google Scholar 

  7. Kudla, S.: On certain arithmetic automorphic forms forSU(1,q). Invent. Math.52, 1–25 (1979)

    Google Scholar 

  8. Maass, H.: Lectures on modular functions of one complex variable. Bombay: Tata Institute of Fundamental Research 1964

    Google Scholar 

  9. Naganuma, H.: On the coincidence of two Dirichlet series associated with cusp forms of Hecke's “Neben”-type and Hilbert modular forms over a real quadratic field. J. Math. Soc. Jpn.25, 547–555 (1973)

    Google Scholar 

  10. Roelcke, W.: Das Eigenwwert problem der automorphen Formen in der hyperbolischen Ebene. I. Math. Ann.167, 292–337 (1966). II. Math. Ann.168, 261–324 (1967)

    Google Scholar 

  11. Shimura, G.: On certain zeta functions attached to two Hilbert modular forms. I. The case of Hecke characters. Ann. Math.114, 127–164 (1981)

    Google Scholar 

  12. Shintani, T.: On construction of holomorphic cusp forms of half integral weight. Nagoya Math. J.58, 83–126 (1975)

    Google Scholar 

  13. Terras, A.: Fourier analysis on symmetric spaces and applications to number theory. (To appear)

  14. Weil, A.: Dirichlet series and automorphic forms. Lecture Notes in Mathematics. 189. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

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  1. Department of Mathematics, Harvard University, Science Center 325, 1 Oxford Street, 02138, Cambridge, MA, USA

    Solomon Friedberg

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  1. Solomon Friedberg
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Friedberg, S. On maass wave forms and the imaginary quadratic Doi-Naganuma lifting. Math. Ann. 263, 483–508 (1983). https://doi.org/10.1007/BF01457056

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