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Some conjectured relationships between theta functions and eisenstein series on the metaplectic group

Part of the Lecture Notes in Mathematics book series (LNM,volume 1383)

Keywords

  • Fourier Coefficient
  • Theta Function
  • Eisenstein Series
  • Cusp Form
  • Dirichlet Series

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References

  1. D. Bump and J. Hoffstein, On Shimura's Correspondence, to appear in Duke Math. J.

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  2. D. Kazhdan and S. Patterson, Metaplectic Forms, Publ. Math. IHES No. 59 (1984).

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  3. S. Patterson, A. cubic analogue of the theta series, J. reine angew. Math. 296 (1977).

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  4. S. Patterson, The Fourier coefficients of biquadratic theta series, Notes.

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  5. S. Patterson, Whittaker models of generalized theta series, in Sém. de th. des nombres (Paris), 1982–83, Birkhäuser (1984).

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  6. T. Suzuki, Some results on the coefficients of the biquadratic theta series, J. reine angew. Math. 340.

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  7. T. Suzuki, Global Whittaker models of generalized theta series, Preprint (1986).

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© 1989 Springer-Verlag

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Bump, D., Hoffstein, J. (1989). Some conjectured relationships between theta functions and eisenstein series on the metaplectic group. In: Chudnovsky, D.V., Chudnovsky, G.V., Cohn, H., Nathanson, M.B. (eds) Number Theory. Lecture Notes in Mathematics, vol 1383. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083566

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  • DOI: https://doi.org/10.1007/BFb0083566

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  • Print ISBN: 978-3-540-51549-4

  • Online ISBN: 978-3-540-46640-6

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