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Holomorphic siegel modular forms associated to SO(n, 1)

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References

  1. Andrianov, A.N., Maloletkin, G.N.: Behavior of theta series of degreen under modulat substitutions. Math. USSR Izv,39, 227–241 (1975)

    Google Scholar 

  2. Borel, A.: Introduction aux groupes arithmetiques. Paris: Hermann 1969

    Google Scholar 

  3. Gelbart, S.: Holomorphic discrete series for the real symplectic group. Invent. Math.19, 49–58 (1973)

    Google Scholar 

  4. Hecke, E.: Zur Theorie der elliptischen Modulfunktionen. Math. Ann.97, 210–242 (1926)

    Google Scholar 

  5. Howe, R.: θ-series and invariant theory. Proc. Symp. Pure Math.33, 275–285 (1979)

    Google Scholar 

  6. Kashiwara, M., Vergne, M.: On the Segal-Shale-Weil representations and harmonic polynomials. Invent. math.44, 1–47 (1978)

    Article  Google Scholar 

  7. Kudla, S., Millson, J.: Geodesic cycles and the Weil representation, quotients of hyperoclic space and Siegel modular forms. Preprint (1979)

  8. Millson, J., Raghunathan, M.S.: Geometric construction of cohomology for arithmetic groups I. Papers Dedicated to the Memory of V.K. Patodi. Bangalore: Indian Academy of Sciences

  9. Siegel, C.L.: Indefinite quadratische Formen und Funktionen Theorie. I. Math. Ann.124, 17–54 (1951)

    Google Scholar 

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

    Google Scholar 

  11. Weil, A.: Elliptic functions according to Eisenstein and Kronecker. Ergebnisse der Mathematik. Vol. 88, Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

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Research partially supported by National Science Foundation Grant No. MCS78-02817.

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Kudla, S.S. Holomorphic siegel modular forms associated to SO(n, 1). Math. Ann. 256, 517–534 (1981). https://doi.org/10.1007/BF01450546

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